Diff: rfc9909.original.xml

	rfc9909.original.xml	rfc9909.xml

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	<front>	<front>

	<title abbrev="SLH-DSA for X.509">Internet X.509 Public Key Infrastructure:
	Algorithm Identifiers for SLH-DSA</title>	<title abbrev="SLH-DSA for X.509">Internet X.509 Public Key Infrastructure -
	<seriesInfo name="Internet-Draft" value="draft-ietf-lamps-x509-slhdsa-09"/>	- Algorithm Identifiers for the Stateless Hash-Based Digital Signature Algorithm
		(SLH-DSA)</title>
		<seriesInfo name="RFC" value="9909"/>
	<author initials="K." surname="Bashiri" fullname="Kaveh Bashiri">	<author initials="K." surname="Bashiri" fullname="Kaveh Bashiri">
	<organization>BSI</organization>	<organization>BSI</organization>
	<address>	<address>
	<email>kaveh.bashiri.ietf@gmail.com</email>	<email>kaveh.bashiri.ietf@gmail.com</email>
	</address>	</address>
	</author>	</author>
	<author initials="S." surname="Fluhrer" fullname="Scott Fluhrer">	<author initials="S." surname="Fluhrer" fullname="Scott Fluhrer">
	<organization>Cisco Systems</organization>	<organization>Cisco Systems</organization>
	<address>	<address>
	<email>sfluhrer@cisco.com</email>	<email>sfluhrer@cisco.com</email>

	skipping to change at line 45 ¶	skipping to change at line 46 ¶
	<address>	<address>
	<email>daniel.vangeest@cryptonext-security.com</email>	<email>daniel.vangeest@cryptonext-security.com</email>
	</address>	</address>
	</author>	</author>
	<author initials="S." surname="Kousidis" fullname="Stavros Kousidis">	<author initials="S." surname="Kousidis" fullname="Stavros Kousidis">
	<organization>BSI</organization>	<organization>BSI</organization>
	<address>	<address>
	<email>kousidis.ietf@gmail.com</email>	<email>kousidis.ietf@gmail.com</email>
	</address>	</address>
	</author>	</author>

	<date year="2025" month="June" day="30"/>	<date year="2025" month="December"/>
	<area>sec</area>	<area>SEC</area>
	<workgroup>LAMPS - Limited Additional Mechanisms for PKIX and SMIME</workgro	<workgroup>lamps</workgroup>
	up>
	<keyword>SLH-DSA</keyword>	<keyword>SLH-DSA</keyword>
	<keyword>SPHINCS+</keyword>	<keyword>SPHINCS+</keyword>
	<keyword>PQ Signatures</keyword>	<keyword>PQ Signatures</keyword>
	<keyword>post-quantum X.509</keyword>	<keyword>post-quantum X.509</keyword>
	<abstract>	<abstract>

	<?line 128?>


	<t>Digital signatures are used within X.509 Public Key Infrastructure such as X. 509 certificates, Certificate Revocation Lists (CRLs), and to sign messages. Th is document specifies the conventions for using the Stateless Hash-Based Digital Signature Algorithm (SLH-DSA) in X.509 Public Key Infrastructure. The conventi ons for the associated signatures, subject public keys, and private keys are als o specified.</t>	<t>Digital signatures are used within the X.509 Public Key Infrastructure, such as X.509 certificates and Certificate Revocation Lists (CRLs), as well as to sig n messages. This document specifies the conventions for using the Stateless Has h-Based Digital Signature Algorithm (SLH-DSA) in the X.509 Public Key Infrastruc ture. The conventions for the associated signatures, subject public keys, and p rivate keys are also specified.</t>
	<!-- End of Abstract -->	<!-- End of Abstract -->

	</abstract>	</abstract>

	<note removeInRFC="true">
	<name>About This Document</name>
	<t>
	Status information for this document may be found at <eref target="https
	://datatracker.ietf.org/doc/draft-ietf-lamps-x509-slhdsa/"/>.
	</t>
	<t>
	Discussion of this document takes place on the
	LAMPS Working Group mailing list (<eref target="mailto:spasm@ietf.org"/>
	),
	which is archived at <eref target="https://mailarchive.ietf.org/arch/bro
	wse/spasm/"/>.
	Subscribe at <eref target="https://www.ietf.org/mailman/listinfo/spasm/"
	/>.
	</t>
	<t>Source for this draft and an issue tracker can be found at
	<eref target="https://github.com/x509-hbs/draft-x509-slhdsa"/>.</t>
	</note>
	</front>	</front>
	<middle>	<middle>

	<?line 134?>

	<section anchor="introduction">	<section anchor="introduction">
	<name>Introduction</name>	<name>Introduction</name>

	<t>The Stateless Hash-Based Digital Signature Algorithm (SLH-DSA) is a qua	<t>The Stateless Hash-Based Digital Signature Algorithm (SLH-DSA) is a qua
	ntum-resistant digital signature scheme standardized in <xref target="FIPS205"/>	ntum-resistant digital signature scheme standardized in <xref target="FIPS205"/>
	by the US National Institute of Standards and Technology (NIST) PQC project <xr	by the US National Institute of Standards and Technology (NIST) Post-Quantum Cr
	ef target="NIST-PQC"/>. Prior to standardization, the algorithm was known as SPH	yptography (PQC) project <xref target="NIST-PQC"/>. Prior to standardization, th
	INCS+. SLH-DSA and SPHINCS+ are not compatible. This document defines the ASN.1	e algorithm was known as SPHINCS+. SLH-DSA and SPHINCS+ are not compatible. This
	Object Identifiers (OIDs) and conventions for the encoding of SLH-DSA digital si	document defines the ASN.1 Object Identifiers (OIDs) and conventions for the en
	gnatures, public keys and private keys in the X.509 Public Key Infrastructure.</	coding of SLH-DSA digital signatures, public keys, and private keys in the X.509
	t>	Public Key Infrastructure.</t>
	<t>SLH-DSA offers three security levels. The parameters for each of the s	<t>SLH-DSA offers three security levels. The parameters for each of the s
	ecurity levels were chosen to be at least as secure as a generic block cipher of	ecurity levels were chosen to be at least as secure as a generic block cipher of
	128, 192, or 256 bits. There are small (s) and fast (f) versions of the algorit	128, 192, or 256 bits. There are small (s) and fast (f) versions of the algorit
	hm, and the option to use the SHA2 algorithm family <xref target="FIPS180"/> or	hm, and there is also the option to use the SHA-2 algorithm family <xref target=
	SHAKE256 <xref target="FIPS202"/> as internal functions. While the fast versions	"FIPS180"/> or SHAKE256 <xref target="FIPS202"/> as internal functions. While th
	are optimized for key generation and signing speed, they are actually slower at	e fast versions are optimized for key generation and signing speed, they are act
	verification than the SLH-DSA small parameter sets. The small versions are opti	ually slower at verification than the SLH-DSA small parameter sets. The small ve
	mized for signature size, see <xref target="tab-strengths"/>. As an example, id-	rsions are optimized for signature size; see <xref target="tab-strengths"/>. As
	slh-dsa-shake-256s represents the 256-bit security level, the small version of t	an example, id-slh-dsa-shake-256s represents the 256-bit security level, the sma
	he algorithm, and the use of SHAKE256.</t>	ll version of the algorithm, and the use of SHAKE256.</t>
	<t>NIST <xref target="CSOR"/> has assigned separate algorithm identifiers for SLH-DSA for	<t>NIST <xref target="CSOR"/> has assigned separate algorithm identifiers for SLH-DSA for

	each combination of these security levels, fast vs small, SHA2 vs	each combination of these security levels: fast vs. small, SHA-2 vs.
	SHAKE256, and pure mode vs pre-hash mode.</t>	SHAKE256, and pure mode vs. pre-hash mode.</t>
	<t>SLH-DSA signature operations include as input an optional context strin	<t>SLH-DSA signature operations include an optional context string (ctx) a
	g (ctx), defined in Section 10.2 of <xref target="FIPS205"/>. The context strin	s input, defined in Section 10.2 of <xref target="FIPS205"/>. The context strin
	g has a maximum length of 255 bytes. By default, the context string is the empt	g has a maximum length of 255 bytes. By default, the context string is the empt
	y string. This document only specifies the use of the empty context string for u	y string. This document only specifies the use of the empty context string for u
	se in the X.509 Public Key Infrastructure.</t>	se in the X.509 Public Key Infrastructure.</t>
	<t>SLH-DSA offers two signature modes: pure mode, where the entire content is signed directly, and pre-hash mode, where a digest of the content is signed. This document uses the term SLH-DSA to refer to the algorithm in general. Whe n a pure or pre-hash mode needs to be differentiated, the terms Pure SLH-DSA and HashSLH-DSA are used.	<t>SLH-DSA offers two signature modes: pure mode, where the entire content is signed directly, and pre-hash mode, where a digest of the content is signed. This document uses the term SLH-DSA to refer to the algorithm in general. Whe n a pure or pre-hash mode needs to be differentiated, the terms Pure SLH-DSA and HashSLH-DSA are used.
	This document specifies the use of both Pure SLH-DSA and HashSLH-DSA in Public K ey Infrastructure X.509 (PKIX) certificates and Certificate Revocation Lists (CR Ls).</t>	This document specifies the use of both Pure SLH-DSA and HashSLH-DSA in Public K ey Infrastructure X.509 (PKIX) certificates and Certificate Revocation Lists (CR Ls).</t>
	<section anchor="notation">	<section anchor="notation">
	<name>Notation</name>	<name>Notation</name>
	<t>The following notation is used in this document:</t>	<t>The following notation is used in this document:</t>

	<ul spacing="normal">	<dl spacing="normal" newline="false">
	<li>	<dt>a \|\| b:</dt><dd>Concatenation of a and b.</dd>
	<t>a \|\| b: concatenation of a and b</t>	<dt>id-slh-dsa-*:</dt><dd>A shorthand to refer to all 12 OIDs used to
	</li>	specify the different parameter combinations for Pure SLH-DSA.</dd>
	<li>	<dt>id-hash-slh-dsa-*:</dt><dd>A shorthand to refer to all 12 OIDs use
	<t>id-slh-dsa-*: A shorthand to refer to all 12 OIDs used to specify	d to specify the different parameter combinations for HashSLH-DSA.</dd>
	the different parameter combinations for Pure SLH-DSA.</t>	</dl>
	</li>
	<li>
	<t>id-hash-slh-dsa-*: A shorthand to refer to all 12 OIDs used to sp
	ecify the different parameter combinations for HashSLH-DSA.</t>
	</li>
	</ul>
	<!-- End of introduction section -->


	</section>	</section>
		</section>
		<section anchor="conventions">
		<name>Conventions</name>
		<t>
		The key words "<bcp14>MUST</bcp14>", "<bcp14>MUST NOT</bcp14>",
		"<bcp14>REQUIRED</bcp14>", "<bcp14>SHALL</bcp14>", "<bcp14>SHALL
		NOT</bcp14>", "<bcp14>SHOULD</bcp14>", "<bcp14>SHOULD NOT</bcp14>",
		"<bcp14>RECOMMENDED</bcp14>", "<bcp14>NOT RECOMMENDED</bcp14>",
		"<bcp14>MAY</bcp14>", and "<bcp14>OPTIONAL</bcp14>" in this document are
		to be interpreted as described in BCP 14 <xref target="RFC2119"/>
		<xref target="RFC8174"/> when, and only when, they appear in all capitals,
		as shown here.
		</t>
	</section>	</section>

	<section anchor="conventions-and-definitions">
	<name>Conventions and Definitions</name>
	<t>The key words "<bcp14>MUST</bcp14>", "<bcp14>MUST NOT</bcp14>", "<bcp14
	>REQUIRED</bcp14>", "<bcp14>SHALL</bcp14>", "<bcp14>SHALL
	NOT</bcp14>", "<bcp14>SHOULD</bcp14>", "<bcp14>SHOULD NOT</bcp14>", "<bcp14>RECO
	MMENDED</bcp14>", "<bcp14>NOT RECOMMENDED</bcp14>",
	"<bcp14>MAY</bcp14>", and "<bcp14>OPTIONAL</bcp14>" in this document are to be i
	nterpreted as
	described in BCP 14 <xref target="RFC2119"/> <xref target="RFC8174"/> when, and
	only when, they
	appear in all capitals, as shown here.</t>
	<?line -18?>

	</section>
	<section anchor="sec-alg-ids">	<section anchor="sec-alg-ids">
	<name>Algorithm Identifiers</name>	<name>Algorithm Identifiers</name>
	<t>The AlgorithmIdentifier type is defined in <xref target="RFC5912"/> as follows:</t>	<t>The AlgorithmIdentifier type is defined in <xref target="RFC5912"/> as follows:</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[
	AlgorithmIdentifier{ALGORITHM-TYPE, ALGORITHM-TYPE:AlgorithmSet} ::=	AlgorithmIdentifier{ALGORITHM-TYPE, ALGORITHM-TYPE:AlgorithmSet} ::=
	SEQUENCE {	SEQUENCE {
	algorithm ALGORITHM-TYPE.&id({AlgorithmSet}),	algorithm ALGORITHM-TYPE.&id({AlgorithmSet}),
	parameters ALGORITHM-TYPE.	parameters ALGORITHM-TYPE.
	&Params({AlgorithmSet}{@algorithm}) OPTIONAL	&Params({AlgorithmSet}{@algorithm}) OPTIONAL
	}	}

	]]></sourcecode>	]]></sourcecode>
	<aside>	<aside>
	<t>NOTE: The above syntax is from <xref target="RFC5912"/> and is compat ible with the 2021 ASN.1 syntax <xref target="X680"/>.	<t>NOTE: The above syntax is from <xref target="RFC5912"/> and is compat ible with the 2021 ASN.1 syntax <xref target="X680"/>.
	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>
	</aside>	</aside>
	<t>The fields in AlgorithmIdentifier have the following meanings:</t>	<t>The fields in AlgorithmIdentifier have the following meanings:</t>
	<ul spacing="normal">	<ul spacing="normal">
	<li>	<li>
	<t>algorithm identifies the cryptographic algorithm with an object ide ntifier.</t>	<t>algorithm identifies the cryptographic algorithm with an object ide ntifier.</t>
	</li>	</li>
	<li>	<li>

	<t>parameters, which are optional, are the associated parameters for t he algorithm identifier in the algorithm field.</t>	<t>parameters, which is optional, identifies the associated parameters for the algorithm identifier in the algorithm field.</t>
	</li>	</li>
	</ul>	</ul>

	<t>The object identifiers for SLH-DSA are defined in the NIST Computer Sec urity Objects Register <xref target="CSOR"/>, and are reproduced here for conven ience.	<t>The object identifiers for SLH-DSA are defined in the NIST Computer Sec urity Objects Register <xref target="CSOR"/> and are reproduced here for conveni ence.
	The same algorithm identifiers are used for identifying a public key, a private key, and a signature.</t>	The same algorithm identifiers are used for identifying a public key, a private key, and a signature.</t>

	<t>The Pure SLH-DSA OIDs are defined in <xref target="I-D.ietf-lamps-cms-s phincs-plus"/>'s ASN.1 module and reproduced here for convenience:</t>	<t>The Pure SLH-DSA OIDs are defined in the ASN.1 module in <xref target=" RFC9814"/> and reproduced here for convenience:</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[
	nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-itu-t(2)	nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-itu-t(2)
	country(16) us(840) organization(1) gov(101) csor(3) 4 }	country(16) us(840) organization(1) gov(101) csor(3) 4 }

	sigAlgs OBJECT IDENTIFIER ::= { nistAlgorithms 3 }	sigAlgs OBJECT IDENTIFIER ::= { nistAlgorithms 3 }

	id-slh-dsa-sha2-128s OBJECT IDENTIFIER ::= { sigAlgs 20 }	id-slh-dsa-sha2-128s OBJECT IDENTIFIER ::= { sigAlgs 20 }

	id-slh-dsa-sha2-128f OBJECT IDENTIFIER ::= { sigAlgs 21 }	id-slh-dsa-sha2-128f OBJECT IDENTIFIER ::= { sigAlgs 21 }


	skipping to change at line 221 ¶	skipping to change at line 203 ¶

	id-hash-slh-dsa-shake-256f-with-shake256 OBJECT IDENTIFIER ::= {	id-hash-slh-dsa-shake-256f-with-shake256 OBJECT IDENTIFIER ::= {
	sigAlgs 46 }	sigAlgs 46 }
	]]></sourcecode>	]]></sourcecode>
	<t>The contents of the parameters component for each algorithm <bcp14>MUST </bcp14> be absent.</t>	<t>The contents of the parameters component for each algorithm <bcp14>MUST </bcp14> be absent.</t>
	</section>	</section>
	<section anchor="slh-dsa-signatures">	<section anchor="slh-dsa-signatures">
	<name>SLH-DSA Signatures</name>	<name>SLH-DSA Signatures</name>
	<t>SLH-DSA is a digital signature scheme built upon hash functions. The se curity of SLH-DSA relies on the security properties of the underlying hash funct ions, such as the presumed difficulty of finding preimages.</t>	<t>SLH-DSA is a digital signature scheme built upon hash functions. The se curity of SLH-DSA relies on the security properties of the underlying hash funct ions, such as the presumed difficulty of finding preimages.</t>
	<t>Signatures can be placed in a number of different ASN.1 structures.	<t>Signatures can be placed in a number of different ASN.1 structures.

	The top level structure for a certificate is given below as being	The top-level structure for a certificate is given below as being
	illustrative of how signatures are frequently encoded with an	illustrative of how signatures are frequently encoded with an
	algorithm identifier and a location for the signature.</t>	algorithm identifier and a location for the signature.</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[
	Certificate ::= SIGNED{ TBSCertificate }	Certificate ::= SIGNED{ TBSCertificate }

	SIGNED{ToBeSigned} ::= SEQUENCE {	SIGNED{ToBeSigned} ::= SEQUENCE {
	toBeSigned ToBeSigned,	toBeSigned ToBeSigned,
	algorithmIdentifier SEQUENCE {	algorithmIdentifier SEQUENCE {
	algorithm SIGNATURE-ALGORITHM.	algorithm SIGNATURE-ALGORITHM.
	&id({SignatureAlgorithms}),	&id({SignatureAlgorithms}),

	skipping to change at line 243 ¶	skipping to change at line 225 ¶
	&Params({SignatureAlgorithms}	&Params({SignatureAlgorithms}
	{@algorithmIdentifier.algorithm})	{@algorithmIdentifier.algorithm})
	OPTIONAL	OPTIONAL
	},	},
	signature BIT STRING (CONTAINING SIGNATURE-ALGORITHM.&Value(	signature BIT STRING (CONTAINING SIGNATURE-ALGORITHM.&Value(
	{SignatureAlgorithms}	{SignatureAlgorithms}
	{@algorithmIdentifier.algorithm}))	{@algorithmIdentifier.algorithm}))
	}	}
	]]></sourcecode>	]]></sourcecode>
	<aside>	<aside>

	<t>The above syntax is from <xref target="RFC5912"/> and is compatible w ith the 2021 ASN.1 syntax <xref target="X680"/>.	<t>NOTE: The above syntax is from <xref target="RFC5912"/> and is compat ible with the 2021 ASN.1 syntax <xref target="X680"/>.
	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>
	</aside>	</aside>

	<t>The same algorithm identifiers are used for signatures as are used
		<t>The algorithm identifiers used for signatures are the same as those use
		d
	for public keys. When used to identify signature algorithms, the	for public keys. When used to identify signature algorithms, the
	parameters <bcp14>MUST</bcp14> be absent.</t>	parameters <bcp14>MUST</bcp14> be absent.</t>
	<t>The data to be signed is prepared for SLH-DSA. Then, a private key	<t>The data to be signed is prepared for SLH-DSA. Then, a private key
	operation is performed to generate the raw signature value.</t>	operation is performed to generate the raw signature value.</t>
	<t>When signing data using the Pure SLH-DSA signature algorithm, Algorithm 22 (slh_sign) from	<t>When signing data using the Pure SLH-DSA signature algorithm, Algorithm 22 (slh_sign) from
	Section 10.2.1 of <xref target="FIPS205"/> is used. When verifying Pure SLH-DSA signed data,	Section 10.2.1 of <xref target="FIPS205"/> is used. When verifying Pure SLH-DSA signed data,
	Algorithm 24 (slh_verify) from Section 10.3 of <xref target="FIPS205"/> is used.	Algorithm 24 (slh_verify) from Section 10.3 of <xref target="FIPS205"/> is used.
	When signing data using the HashSLH-DSA signature algorithm, Algorithm 23 (hash_ slh_sign) from	When signing data using the HashSLH-DSA signature algorithm, Algorithm 23 (hash_ slh_sign) from
	Section 10.2.2 of <xref target="FIPS205"/> is used. When verifying HashSLH-DSA s igned data,	Section 10.2.2 of <xref target="FIPS205"/> is used. When verifying HashSLH-DSA s igned data,
	Algorithm 25 (hash_slh_verify) from Section 10.3 of <xref target="FIPS205"/> is used.	Algorithm 25 (hash_slh_verify) from Section 10.3 of <xref target="FIPS205"/> is used.
	All four of these algorithms create a message, M', from the message to be signed along with other data,	All four of these algorithms create a message, M', from the message to be signed along with other data,
	and M' is operated on by internal SLH-DSA algorithms. M' may be constructed out side the	and M' is operated on by internal SLH-DSA algorithms. M' may be constructed out side the

	module that performs the internal SLH-DSA algorithms.</t>	module that performs the internal SLH-DSA algorithms.</t>
	<t>In the case of HashSLH-DSA, there is a pre-hash component (PH_M) of M'.	<t>In the case of HashSLH-DSA, there is a pre-hash component of M' referre
	PH_M may be computed	d to as PH_M. PH_M may be computed
	in the signing/verifying module, in which case the entire message to be signed i	in the signing/verifying module; in which case, the entire message to be signed
	s sent to the	is sent to the
	module. Alternatively, PH_M may be computed in a different module. In this case , either PH_M	module. Alternatively, PH_M may be computed in a different module. In this case , either PH_M
	is sent to the signing/verifying module, which creates M', or M' is created outs ide the	is sent to the signing/verifying module, which creates M', or M' is created outs ide the
	signing/verifying module and is sent to the module. HashSLH-DSA allows this impl ementation	signing/verifying module and is sent to the module. HashSLH-DSA allows this impl ementation
	flexibility in order to reduce, and make consistent, the amount of data transfer red to	flexibility in order to reduce, and make consistent, the amount of data transfer red to

	signing/verifying modules. The hash algorithm or XOF used to generate the pre-h ash when signing and verifying with	signing/verifying modules. The hash algorithm or extendable-output function (XO F) used to generate the pre-hash when signing and verifying with
	HashSLH-DSA is specified after the "-with-" component of the signature algorithm name. For example, when signing with	HashSLH-DSA is specified after the "-with-" component of the signature algorithm name. For example, when signing with
	id-hash-slh-dsa-sha2-128s-with-sha256, SHA-256 is used as the pre-hash algorithm . When pre-hashing	id-hash-slh-dsa-sha2-128s-with-sha256, SHA-256 is used as the pre-hash algorithm . When pre-hashing
	is performed using SHAKE128, the output length is 256 bits. When pre-hashing is performed using	is performed using SHAKE128, the output length is 256 bits. When pre-hashing is performed using
	SHAKE256, the output length is 512 bits.</t>	SHAKE256, the output length is 512 bits.</t>

	<t>Section 9.2 of <xref target="FIPS205"/> defines an SLH-DSA signature as	<t>Section 9.2 of <xref target="FIPS205"/> defines an SLH-DSA signature as
	three elements,	three elements:
	R, SIG_FORS and SIG_HT. The raw octet string encoding of an SLH-DSA	R, SIG_FORS, and SIG_HT. The raw octet string encoding of an SLH-DSA
	signature is the concatenation of these three elements, i.e. R \|\| SIG_FORS \|\| SI	signature is the concatenation of these three elements, i.e., R \|\| SIG_FORS \|\| S
	G_HT.	IG_HT.
	The raw octet string representing the signature is encoded	The raw octet string representing the signature is encoded
	directly in the BIT STRING without adding any additional ASN.1	directly in the BIT STRING without adding any additional ASN.1
	wrapping. For example, in the Certificate structure, the raw signature	wrapping. For example, in the Certificate structure, the raw signature
	value is encoded in the "signature" BIT STRING field.</t>	value is encoded in the "signature" BIT STRING field.</t>
	</section>	</section>
	<section anchor="sec-pub-keys">	<section anchor="sec-pub-keys">
	<name>Subject Public Key Fields</name>	<name>Subject Public Key Fields</name>
	<t>In the X.509 certificate, the subjectPublicKeyInfo field has the Subjec tPublicKeyInfo type, which has the following ASN.1 syntax:</t>	<t>In the X.509 certificate, the subjectPublicKeyInfo field has the Subjec tPublicKeyInfo type, which has the following ASN.1 syntax:</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[
	SubjectPublicKeyInfo {PUBLIC-KEY: IOSet} ::= SEQUENCE {	SubjectPublicKeyInfo {PUBLIC-KEY: IOSet} ::= SEQUENCE {
	algorithm AlgorithmIdentifier {PUBLIC-KEY, {IOSet}},	algorithm AlgorithmIdentifier {PUBLIC-KEY, {IOSet}},
	subjectPublicKey BIT STRING }	subjectPublicKey BIT STRING }
	]]></sourcecode>	]]></sourcecode>
	<aside>	<aside>

	<t>The above syntax is from <xref target="RFC5912"/> and is compatible w ith the 2021 ASN.1 syntax <xref target="X680"/>.	<t>NOTE: The above syntax is from <xref target="RFC5912"/> and is compat ible with the 2021 ASN.1 syntax <xref target="X680"/>.
	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>	See <xref target="RFC5280"/> for the 1988 ASN.1 syntax.</t>
	</aside>	</aside>
	<t>The fields in SubjectPublicKeyInfo have the following meanings:</t>	<t>The fields in SubjectPublicKeyInfo have the following meanings:</t>
	<ul spacing="normal">	<ul spacing="normal">
	<li>	<li>
	<t>algorithm is the algorithm identifier and parameters for the public key (see above).</t>	<t>algorithm is the algorithm identifier and parameters for the public key (see above).</t>
	</li>	</li>
	<li>	<li>
	<t>subjectPublicKey contains the byte stream of the public key.</t>	<t>subjectPublicKey contains the byte stream of the public key.</t>
	</li>	</li>
	</ul>	</ul>

	<t><xref target="I-D.ietf-lamps-cms-sphincs-plus"/> defines the following public key identifiers for Pure SLH-DSA:</t>	<t><xref target="RFC9814"/> defines the following public key identifiers f or Pure SLH-DSA:</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[
	pk-slh-dsa-sha2-128s PUBLIC-KEY ::= {	pk-slh-dsa-sha2-128s PUBLIC-KEY ::= {
	IDENTIFIER id-slh-dsa-sha2-128s	IDENTIFIER id-slh-dsa-sha2-128s
	-- KEY no ASN.1 wrapping --	-- KEY no ASN.1 wrapping --
	CERT-KEY-USAGE	CERT-KEY-USAGE
	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }
	-- PRIVATE-KEY no ASN.1 wrapping -- }	-- PRIVATE-KEY no ASN.1 wrapping -- }

	pk-slh-dsa-sha2-128f PUBLIC-KEY ::= {	pk-slh-dsa-sha2-128f PUBLIC-KEY ::= {
	IDENTIFIER id-slh-dsa-sha2-128f	IDENTIFIER id-slh-dsa-sha2-128f

	skipping to change at line 476 ¶	skipping to change at line 459 ¶
	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }
	-- PRIVATE-KEY no ASN.1 wrapping -- }	-- PRIVATE-KEY no ASN.1 wrapping -- }

	pk-hash-slh-dsa-shake-256f-with-shake256 PUBLIC-KEY ::= {	pk-hash-slh-dsa-shake-256f-with-shake256 PUBLIC-KEY ::= {
	IDENTIFIER id-hash-slh-dsa-shake-256f-with-shake256	IDENTIFIER id-hash-slh-dsa-shake-256f-with-shake256
	-- KEY no ASN.1 wrapping --	-- KEY no ASN.1 wrapping --
	CERT-KEY-USAGE	CERT-KEY-USAGE
	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }	{ digitalSignature, nonRepudiation, keyCertSign, cRLSign }
	-- PRIVATE-KEY no ASN.1 wrapping -- }	-- PRIVATE-KEY no ASN.1 wrapping -- }
	]]></sourcecode>	]]></sourcecode>

	<t>Section 9.1 of <xref target="FIPS205"/> defines an SLH-DSA public key a s two n-byte elements,	<t>Section 9.1 of <xref target="FIPS205"/> defines an SLH-DSA public key a s two n-byte elements:
	PK.seed and PK.root. The raw octet string encoding of an SLH-DSA	PK.seed and PK.root. The raw octet string encoding of an SLH-DSA

	public key is the concatenation of these two elements, i.e. PK.seed \|\| PK.root. The octet	public key is the concatenation of these two elements, i.e., PK.seed \|\| PK.root. The octet
	string length is 2*n bytes, where n is 16, 24, or 32, depending on the SLH-DSA p arameter	string length is 2*n bytes, where n is 16, 24, or 32, depending on the SLH-DSA p arameter
	set. When used in a SubjectPublicKeyInfo type, the subjectPublicKey BIT STRING	set. When used in a SubjectPublicKeyInfo type, the subjectPublicKey BIT STRING
	contains the raw octet string encoding of the public key.</t>	contains the raw octet string encoding of the public key.</t>

	<t><xref target="I-D.ietf-lamps-cms-sphincs-plus"/> defines the SLH-DSA-Pu blicKey and SLH-DSA-PrivateKey ASN.1	<t><xref target="RFC9814"/> defines the SLH-DSA-PublicKey and SLH-DSA-Priv ateKey ASN.1
	OCTET STRING types to provide an option for encoding a Pure SLH-DSA public or pr ivate key in an	OCTET STRING types to provide an option for encoding a Pure SLH-DSA public or pr ivate key in an
	environment that uses ASN.1 encoding but doesn't define its own mapping of an	environment that uses ASN.1 encoding but doesn't define its own mapping of an
	SLH-DSA raw octet string to ASN.1. HashSLH-DSA public and private keys can use S LH-DSA-PublicKey	SLH-DSA raw octet string to ASN.1. HashSLH-DSA public and private keys can use S LH-DSA-PublicKey
	and SLH-DSA-PrivateKey in the same way. To map an SLH-DSA-PublicKey OCTET STRIN G to	and SLH-DSA-PrivateKey in the same way. To map an SLH-DSA-PublicKey OCTET STRIN G to
	a SubjectPublicKeyInfo, the OCTET STRING is mapped to the subjectPublicKey	a SubjectPublicKeyInfo, the OCTET STRING is mapped to the subjectPublicKey

	field (a value of type BIT STRING) as follows: the most significant	field (a value of type BIT STRING) as follows: The most significant
	bit of the OCTET STRING value becomes the most significant bit of the BIT	bit of the OCTET STRING value becomes the most significant bit of the BIT
	STRING value, and so on; the least significant bit of the OCTET STRING	STRING value, and so on; the least significant bit of the OCTET STRING
	becomes the least significant bit of the BIT STRING.</t>	becomes the least significant bit of the BIT STRING.</t>
	<t>The AlgorithmIdentifier for an SLH-DSA public key <bcp14>MUST</bcp14> u se one of the id-slh-dsa-* or id-hash-slh-dsa-* object identifiers from <xref ta rget="sec-alg-ids"/>. The parameters field of the AlgorithmIdentifier for the SL H-DSA public key <bcp14>MUST</bcp14> be absent.</t>	<t>The AlgorithmIdentifier for an SLH-DSA public key <bcp14>MUST</bcp14> u se one of the id-slh-dsa-* or id-hash-slh-dsa-* object identifiers from <xref ta rget="sec-alg-ids"/>. The parameters field of the AlgorithmIdentifier for the SL H-DSA public key <bcp14>MUST</bcp14> be absent.</t>
	<t><xref target="example-public"/> contains an example of an id-slh-dsa-sh a2-128s public	<t><xref target="example-public"/> contains an example of an id-slh-dsa-sh a2-128s public
	key encoded using the textual encoding defined in <xref target="RFC7468"/>.</t>	key encoded using the textual encoding defined in <xref target="RFC7468"/>.</t>
	</section>	</section>
	<section anchor="key-usage-bits">	<section anchor="key-usage-bits">
	<name>Key Usage Bits</name>	<name>Key Usage Bits</name>
	<t>The intended application for the key is indicated in the keyUsage certi ficate extension; see <xref section="4.2.1.3" sectionFormat="of" target="RFC5280 "/>. If the keyUsage extension is present in a certificate that indicates an id -slh-dsa-* (Pure SLH-DSA) or id-hash-slh-dsa-* (HashSLH-DSA) identifier in the S ubjectPublicKeyInfo, then at least one of the following <bcp14>MUST</bcp14> be p resent:</t>	<t>The intended application for the key is indicated in the keyUsage certi ficate extension; see <xref section="4.2.1.3" sectionFormat="of" target="RFC5280 "/>. If the keyUsage extension is present in a certificate that indicates an id -slh-dsa-* (Pure SLH-DSA) or id-hash-slh-dsa-* (HashSLH-DSA) identifier in the S ubjectPublicKeyInfo, then at least one of the following <bcp14>MUST</bcp14> be p resent:</t>

	<artwork><![CDATA[	<ul spacing="normal">
	digitalSignature	<li>digitalSignature</li>
	nonRepudiation	<li>nonRepudiation</li>
	keyCertSign	<li>keyCertSign</li>
	cRLSign	<li>cRLSign</li>
	]]></artwork>	</ul>
	<t>If the keyUsage extension is present in a certificate that indicates an id-slh-dsa-* (Pure SLH-DSA) or id-hash-slh-dsa-* (HashSLH-DSA) identifier in th e SubjectPublicKeyInfo, then the following <bcp14>MUST NOT</bcp14> be present:</ t>	<t>If the keyUsage extension is present in a certificate that indicates an id-slh-dsa-* (Pure SLH-DSA) or id-hash-slh-dsa-* (HashSLH-DSA) identifier in th e SubjectPublicKeyInfo, then the following <bcp14>MUST NOT</bcp14> be present:</ t>

	<artwork><![CDATA[	<ul spacing="normal">
	keyEncipherment,	<li>keyEncipherment</li>
	dataEncipherment,	<li>dataEncipherment</li>
	keyAgreement,	<li>keyAgreement</li>
	encipherOnly, and	<li>encipherOnly</li>
	decipherOnly.	<li>decipherOnly</li>
	]]></artwork>	</ul>
	<t>Requirements about the keyUsage extension bits defined in <xref target= "RFC5280"/> still apply.</t>	<t>Requirements about the keyUsage extension bits defined in <xref target= "RFC5280"/> still apply.</t>
	</section>	</section>
	<section anchor="private-key-format">	<section anchor="private-key-format">
	<name>Private Key Format</name>	<name>Private Key Format</name>
	<t>"Asymmetric Key Packages" <xref target="RFC5958"/> describes how to enc ode a private	<t>"Asymmetric Key Packages" <xref target="RFC5958"/> describes how to enc ode a private
	key in a structure that both identifies what algorithm the private	key in a structure that both identifies what algorithm the private
	key is for and optionally allows for the public key and additional attributes	key is for and optionally allows for the public key and additional attributes
	about the key to be included as well. For illustration, the ASN.1	about the key to be included as well. For illustration, the ASN.1
	structure OneAsymmetricKey is replicated below.</t>	structure OneAsymmetricKey is replicated below.</t>
	<sourcecode type="asn.1"><![CDATA[	<sourcecode type="asn.1"><![CDATA[

	skipping to change at line 538 ¶	skipping to change at line 521 ¶
	...,	...,
	[[2: publicKey [1] IMPLICIT PublicKey OPTIONAL ]],	[[2: publicKey [1] IMPLICIT PublicKey OPTIONAL ]],
	...	...
	}	}

	PrivateKey ::= OCTET STRING	PrivateKey ::= OCTET STRING

	PublicKey ::= BIT STRING	PublicKey ::= BIT STRING
	]]></sourcecode>	]]></sourcecode>
	<aside>	<aside>

	<t>The above syntax is from <xref target="RFC5958"/> and is compatible w ith the 2021 ASN.1 syntax <xref target="X680"/>.</t>	<t>NOTE: The above syntax is from <xref target="RFC5958"/> and is compat ible with the 2021 ASN.1 syntax <xref target="X680"/>.</t>
	</aside>	</aside>
	<t>Section 9.1 of <xref target="FIPS205"/> defines an SLH-DSA private key as four n-byte	<t>Section 9.1 of <xref target="FIPS205"/> defines an SLH-DSA private key as four n-byte

	elements, SK.seed, SK.prf, PK.seed and PK.root. The raw octet string	elements: SK.seed, SK.prf, PK.seed, and PK.root. The raw octet string
	encoding of an SLH-DSA private key is the concatenation of these four	encoding of an SLH-DSA private key is the concatenation of these four

	elements, i.e. SK.seed \|\| SK.prf \|\| PK.seed \|\| PK.root. The octet string	elements, i.e., SK.seed \|\| SK.prf \|\| PK.seed \|\| PK.root. The octet string
	length is 4*n bytes, where n is 16, 24, or 32, depending on the SLH-DSA paramete r	length is 4*n bytes, where n is 16, 24, or 32, depending on the SLH-DSA paramete r
	set. When used in a OneAsymmetricKey type, the privateKey	set. When used in a OneAsymmetricKey type, the privateKey
	OCTET STRING contains the raw octet string encoding of the private key.</t>	OCTET STRING contains the raw octet string encoding of the private key.</t>
	<t>When an SLH-DSA public key is included in a OneAsymmetricKey type, it i s	<t>When an SLH-DSA public key is included in a OneAsymmetricKey type, it i s
	encoded in the same manner as in a SubjectPublicKeyInfo type. That is, the	encoded in the same manner as in a SubjectPublicKeyInfo type. That is, the
	publicKey BIT STRING contains the raw octet string encoding of the public	publicKey BIT STRING contains the raw octet string encoding of the public
	key.</t>	key.</t>
	<t><xref target="example-private"/> contains an example of an id-slh-dsa-s ha2-128s private	<t><xref target="example-private"/> contains an example of an id-slh-dsa-s ha2-128s private

	key encoded using the textual encoding defined in <xref target="RFC7468"/>.</t>	key encoded using the textual encoding defined in <xref target="RFC7468"/>
		.</t>
		<aside>
	<t>NOTE: There exist some private key import functions that have not	<t>NOTE: There exist some private key import functions that have not

	picked up the new ASN.1 structure OneAsymmetricKey that is defined in	picked up the ASN.1 structure OneAsymmetricKey, which is defined in
	<xref target="RFC5958"/>. This means that they will not accept a private key	<xref target="RFC5958"/>. This means that they will not accept a private key
	structure that contains the public key field. This means a balancing	structure that contains the public key field. This means a balancing
	act needs to be done between being able to do a consistency check on	act needs to be done between being able to do a consistency check on
	the key pair and widest ability to import the key.</t>	the key pair and widest ability to import the key.</t>

		</aside>
	</section>	</section>
	<section anchor="operational-considerations">	<section anchor="operational-considerations">
	<name>Operational Considerations</name>	<name>Operational Considerations</name>
	<t>SLH-DSA uses the same OID to identify a public key and a	<t>SLH-DSA uses the same OID to identify a public key and a
	signature algorithm. The implication of this is that, despite being	signature algorithm. The implication of this is that, despite being
	mathematically possible, an SLH-DSA key identified by a Pure SLH-DSA OID	mathematically possible, an SLH-DSA key identified by a Pure SLH-DSA OID
	is not permitted to be used to generate or verify a signature identified by	is not permitted to be used to generate or verify a signature identified by

	an HashSLH-DSA OID, and vice-versa.</t>	a HashSLH-DSA OID, and vice versa.</t>
	<t>CA operators will need to decide in advance whether their CA certificat	<t>Certification authority (CA) operators will need to decide in advance w
	es	hether their CA certificates
	will use Pure SLH-DSA or HashSLH-DSA and assign the appropriate OID to	will use Pure SLH-DSA or HashSLH-DSA and assign the appropriate OID to
	the public and private keys when generating their certificate. Some of the foll owing	the public and private keys when generating their certificate. Some of the foll owing
	considerations may affect this decision.</t>	considerations may affect this decision.</t>
	<ul spacing="normal">	<ul spacing="normal">
	<li>	<li>

	<t>When using an external signing module, such as an HSM, the size of data that	<t>When using an external signing module, such as a Hardware Security Module (HSM), the size of data that
	can be transferred to and processed by the signature module may be limited.	can be transferred to and processed by the signature module may be limited.
	SLH-DSA performs two passes on the internal M' message, so it must be held	SLH-DSA performs two passes on the internal M' message, so it must be held
	in memory. Using HashSLH-DSA reduces the size of M'.</t>	in memory. Using HashSLH-DSA reduces the size of M'.</t>
	</li>	</li>
	<li>	<li>
	<t>Large CRLs might also exceed the size limits of HSM signing operati ons when using	<t>Large CRLs might also exceed the size limits of HSM signing operati ons when using
	Pure SLH-DSA. One way to limit the size of CRLs is to make use of CRL Distributi on	Pure SLH-DSA. One way to limit the size of CRLs is to make use of CRL Distributi on
	Points and Issuing Distribution Points to create partitioned CRLs in accordance with	Points and Issuing Distribution Points to create partitioned CRLs in accordance with
	<xref section="5.2.5" sectionFormat="of" target="RFC5280"/>.</t>	<xref section="5.2.5" sectionFormat="of" target="RFC5280"/>.</t>
	</li>	</li>
	<li>	<li>

	<t>EE certificates with many SANs might also exceed the size limits of HSM signing operations.</t>	<t>End Entity (EE) certificates with many subject alternative names (S ANs) might also exceed the size limits of HSM signing operations.</t>
	</li>	</li>
	<li>	<li>
	<t>Potential verifiers' environments might need to be considered. The entire certificate or	<t>Potential verifiers' environments might need to be considered. The entire certificate or

	CRL needs to be held in memory during SLH-DSA signature verification, it cannot	CRL needs to be held in memory during SLH-DSA signature verification; it cannot
	be	be
	streamed. In particular, there is a randomizer (R) which is extracted from the S	streamed. In particular, there is a randomizer (R) that is extracted from the SL
	LH-DSA signature and	H-DSA signature and
	fed to a digest function before M' is. Thus, to stream a message for SLH-DSA ver	fed to a digest function before M' is. Thus, to stream a message for SLH-DSA ver
	ification the	ification, the
	signature must come before the message. This is not the case for certificates an d CRLs. Using	signature must come before the message. This is not the case for certificates an d CRLs. Using
	HashSLH-DSA reduces the size of the M' being held in memory.</t>	HashSLH-DSA reduces the size of the M' being held in memory.</t>
	</li>	</li>
	</ul>	</ul>

	<t>An SLH-DSA private key has a very large (2^64) number of signatures it can	<t>An SLH-DSA private key has a very large (2<sup>64</sup>) number of sign atures it can
	safely generate (see <xref target="sec-cons"/>). If an operator might conceivab ly generate a	safely generate (see <xref target="sec-cons"/>). If an operator might conceivab ly generate a
	number of signatures approaching this limit, they should mitigate potential harm by	number of signatures approaching this limit, they should mitigate potential harm by
	tracking the number of signatures generated and destroying the private key once	tracking the number of signatures generated and destroying the private key once

	an appropriate limit is reached, or by setting the "Not After" (expiration) date	an appropriate limit is reached or by setting the "Not After" (expiration) date
	of	of
	the certificate such that the the limit couldn't possibly be surpassed given the	the certificate such that the limit couldn't possibly be surpassed given the
	rate of signing.</t>	rate of signing.</t>
	</section>	</section>
	<section anchor="sec-cons">	<section anchor="sec-cons">
	<name>Security Considerations</name>	<name>Security Considerations</name>
	<t>The security considerations of <xref target="RFC5280"/> apply according ly. Moreover, the security aspects	<t>The security considerations of <xref target="RFC5280"/> apply according ly. Moreover, the security aspects

	mentioned throughout <xref target="FIPS205"/> should be taken into account; see for instance Sections 3.1	mentioned throughout <xref target="FIPS205"/> should be taken into account; for instance, see Sections 3.1
	and 3.2 or the beginning of Section 11.</t>	and 3.2 or the beginning of Section 11.</t>
	<t>The security of SLH-DSA relies on the security properties of the intern al hash and XOF	<t>The security of SLH-DSA relies on the security properties of the intern al hash and XOF
	functions. In particular, it relies on these functions being preimage resistant, but it	functions. In particular, it relies on these functions being preimage resistant, but it
	does not rely on them being collision resistant. Since HashSLH-DSA performs a pr e-hash	does not rely on them being collision resistant. Since HashSLH-DSA performs a pr e-hash
	before signing, it relies on both preimage resistance and collision resistance o f the	before signing, it relies on both preimage resistance and collision resistance o f the
	pre-hash function. In order to achieve an appropriate level of collision resista nce,	pre-hash function. In order to achieve an appropriate level of collision resista nce,
	the output length of the pre-hash functions used for HashSLH-DSA is twice the le ngth of	the output length of the pre-hash functions used for HashSLH-DSA is twice the le ngth of
	the internal hash and XOF functions.</t>	the internal hash and XOF functions.</t>
	<t>Implementations <bcp14>MUST</bcp14> protect the private keys. Compromi se of the	<t>Implementations <bcp14>MUST</bcp14> protect the private keys. Compromi se of the
	private keys may result in the ability to forge signatures.</t>	private keys may result in the ability to forge signatures.</t>
	<t>When generating an SLH-DSA key pair, an implementation <bcp14>MUST</bcp 14> generate	<t>When generating an SLH-DSA key pair, an implementation <bcp14>MUST</bcp 14> generate
	each key pair independently of all other key pairs in the SLH-DSA	each key pair independently of all other key pairs in the SLH-DSA
	hypertree.</t>	hypertree.</t>

	<t>An SLH-DSA tree <bcp14>MUST NOT</bcp14> be used for more than 2^64 sign ing	<t>An SLH-DSA tree <bcp14>MUST NOT</bcp14> be used for more than 2<sup>64< /sup> signing
	operations.</t>	operations.</t>
	<t>The generation of private keys relies on random numbers. The use of	<t>The generation of private keys relies on random numbers. The use of

	inadequate pseudo-random number generators (PRNGs) to generate these	inadequate pseudorandom number generators (PRNGs) to generate these
	values can result in little or no security. An attacker may find it	values can result in little or no security. An attacker may find it
	much easier to reproduce the PRNG environment that produced the keys,	much easier to reproduce the PRNG environment that produced the keys,
	searching the resulting small set of possibilities, rather than brute	searching the resulting small set of possibilities, rather than brute
	force searching the whole key space. The generation of quality	force searching the whole key space. The generation of quality
	random numbers is difficult; see Section 3.1 of <xref target="FIPS205"/> for som e	random numbers is difficult; see Section 3.1 of <xref target="FIPS205"/> for som e
	additional information.</t>	additional information.</t>

	<t>Fault attacks can lead to forgeries of message signatures <xref target= "CMP2018"/> and <xref target="Ge2023"/>.	<t>Fault attacks can lead to forgeries of message signatures; see <xref ta rget="CMP2018"/> and <xref target="Ge2023"/>.
	Verifying a signature before releasing the signature value	Verifying a signature before releasing the signature value
	is a typical fault attack countermeasure; however, this	is a typical fault attack countermeasure; however, this
	countermeasure is not effective for SLH-DSA <xref target="Ge2023"/>. Redundancy by	countermeasure is not effective for SLH-DSA <xref target="Ge2023"/>. Redundancy by
	replicating the signature generation process can be used as an	replicating the signature generation process can be used as an
	effective fault attack countermeasure for SLH-DSA <xref target="Ge2023"/>; howev er,	effective fault attack countermeasure for SLH-DSA <xref target="Ge2023"/>; howev er,
	the SLH-DSA signature generation is already considered slow.</t>	the SLH-DSA signature generation is already considered slow.</t>
	<t>Likewise, passive power and emissions side-channel attacks can leak the SLH-DSA	<t>Likewise, passive power and emissions side-channel attacks can leak the SLH-DSA
	private signing key, and countermeasures can be taken against these attacks <xre f target="SLotH"/>.</t>	private signing key, and countermeasures can be taken against these attacks <xre f target="SLotH"/>.</t>
	</section>	</section>
	<section anchor="iana-considerations">	<section anchor="iana-considerations">
	<name>IANA Considerations</name>	<name>IANA Considerations</name>

	<t>For the ASN.1 Module in <xref target="sec-asn1"/> of this document, IAN	<t>For the ASN.1 module in <xref target="sec-asn1"/> of this document, IAN
	A is	A has assigned an object identifier (OID) for the module
	requested to assign an object identifier (OID) for the module	identifier (120) with a Description of "id-mod-x509-slh-dsa-2025". The
	identifier (TBD1) with a Description of "id-mod-x509-slh-dsa-2024". The	OID for the module has been allocated in the "SMI Security for PKIX
	OID for the module should be allocated in the "SMI Security for PKIX
	Module Identifier" registry (1.3.6.1.5.5.7.0).</t>	Module Identifier" registry (1.3.6.1.5.5.7.0).</t>
	</section>	</section>
	</middle>	</middle>
	<back>	<back>
	<references anchor="sec-combined-references">	<references anchor="sec-combined-references">
	<name>References</name>	<name>References</name>
	<references anchor="sec-normative-references">	<references anchor="sec-normative-references">
	<name>Normative References</name>	<name>Normative References</name>

	<reference anchor="FIPS205" target="https://doi.org/10.6028/NIST.FIPS.20 5">	<reference anchor="FIPS205" target="https://nvlpubs.nist.gov/nistpubs/FI PS/NIST.FIPS.205.pdf">
	<front>	<front>
	<title>Stateless Hash-Based Digital Signature Standard</title>	<title>Stateless Hash-Based Digital Signature Standard</title>
	<author>	<author>

	<organization>National Institute of Standards and Technology (NIST )</organization>	<organization abbrev="NIST">National Institute of Standards and Te chnology (NIST)</organization>
	</author>	</author>
	<date year="2024" month="August" day="13"/>	<date year="2024" month="August" day="13"/>
	</front>	</front>

	<seriesInfo name="FIPS PUB" value="205"/>	<seriesInfo name="NIST FIPS" value="205"/>
		<seriesInfo name="DOI" value="10.6028/NIST.FIPS.205"/>
	</reference>	</reference>
	<reference anchor="X680" target="https://www.itu.int/rec/T-REC-X.680">	<reference anchor="X680" target="https://www.itu.int/rec/T-REC-X.680">
	<front>	<front>
	<title>Information technology - Abstract Syntax Notation One (ASN.1) : Specification of basic notation</title>	<title>Information technology - Abstract Syntax Notation One (ASN.1) : Specification of basic notation</title>
	<author>	<author>
	<organization>ITU-T</organization>	<organization>ITU-T</organization>
	</author>	</author>
	<date year="2021" month="February"/>	<date year="2021" month="February"/>
	</front>	</front>
	<seriesInfo name="ITU-T Recommendation" value="X.680"/>	<seriesInfo name="ITU-T Recommendation" value="X.680"/>
	<seriesInfo name="ISO/IEC" value="8824-1:2021"/>	<seriesInfo name="ISO/IEC" value="8824-1:2021"/>
	</reference>	</reference>
	<reference anchor="X690" target="https://www.itu.int/rec/T-REC-X.690">	<reference anchor="X690" target="https://www.itu.int/rec/T-REC-X.690">
	<front>	<front>

	<title>Information technology - Abstract Syntax Notation One (ASN.1) : ASN.1 encoding rules: Specification of Basic Encoding Rules (BER), Canonical E ncoding Rules (CER) and Distinguished Encoding Rules (DER)</title>	<title>Information technology - ASN.1 encoding rules: Specification of Basic Encoding Rules (BER), Canonical Encoding Rules (CER) and Distinguished Encoding Rules (DER)</title>
	<author>	<author>
	<organization>ITU-T</organization>	<organization>ITU-T</organization>
	</author>	</author>
	<date year="2021" month="February"/>	<date year="2021" month="February"/>
	</front>	</front>
	<seriesInfo name="ITU-T Recommendation" value="X.690"/>	<seriesInfo name="ITU-T Recommendation" value="X.690"/>
	<seriesInfo name="ISO/IEC" value="8825-1:2021"/>	<seriesInfo name="ISO/IEC" value="8825-1:2021"/>
	</reference>	</reference>
	<reference anchor="CSOR" target="https://csrc.nist.gov/projects/computer -security-objects-register/algorithm-registration">	<reference anchor="CSOR" target="https://csrc.nist.gov/projects/computer -security-objects-register/algorithm-registration">
	<front>	<front>

	<title>Computer Security Objects Register</title>	<title>Computer Security Objects Register (CSOR)</title>
	<author initials="" surname="NIST" fullname="National Institute of S	<author>
	tandards and Technology">	<organization abbrev="NIST">National Institute of Standards and Te
	<organization/>	chnology (NIST)</organization>
	</author>	</author>

	<date year="2024" month="August" day="20"/>	<date year="2025" month="June" day="13"/>
	</front>
	</reference>
	<reference anchor="RFC2119">
	<front>
	<title>Key words for use in RFCs to Indicate Requirement Levels</tit
	le>
	<author fullname="S. Bradner" initials="S." surname="Bradner"/>
	<date month="March" year="1997"/>
	<abstract>
	<t>In many standards track documents several words are used to sig
	nify the requirements in the specification. These words are often capitalized. T
	his document defines these words as they should be interpreted in IETF documents
	. This document specifies an Internet Best Current Practices for the Internet Co
	mmunity, and requests discussion and suggestions for improvements.</t>
	</abstract>
	</front>
	<seriesInfo name="BCP" value="14"/>
	<seriesInfo name="RFC" value="2119"/>
	<seriesInfo name="DOI" value="10.17487/RFC2119"/>
	</reference>
	<reference anchor="RFC8174">
	<front>
	<title>Ambiguity of Uppercase vs Lowercase in RFC 2119 Key Words</ti
	tle>
	<author fullname="B. Leiba" initials="B." surname="Leiba"/>
	<date month="May" year="2017"/>
	<abstract>
	<t>RFC 2119 specifies common key words that may be used in protoco
	l specifications. This document aims to reduce the ambiguity by clarifying that
	only UPPERCASE usage of the key words have the defined special meanings.</t>
	</abstract>
	</front>
	<seriesInfo name="BCP" value="14"/>
	<seriesInfo name="RFC" value="8174"/>
	<seriesInfo name="DOI" value="10.17487/RFC8174"/>
	</reference>
	<reference anchor="RFC5912">
	<front>
	<title>New ASN.1 Modules for the Public Key Infrastructure Using X.5
	09 (PKIX)</title>
	<author fullname="P. Hoffman" initials="P." surname="Hoffman"/>
	<author fullname="J. Schaad" initials="J." surname="Schaad"/>
	<date month="June" year="2010"/>
	<abstract>
	<t>The Public Key Infrastructure using X.509 (PKIX) certificate fo
	rmat, and many associated formats, are expressed using ASN.1. The current ASN.1
	modules conform to the 1988 version of ASN.1. This document updates those ASN.1
	modules to conform to the 2002 version of ASN.1. There are no bits-on-the-wire c
	hanges to any of the formats; this is simply a change to the syntax. This docume
	nt is not an Internet Standards Track specification; it is published for informa
	tional purposes.</t>
	</abstract>
	</front>	</front>

	<seriesInfo name="RFC" value="5912"/>
	<seriesInfo name="DOI" value="10.17487/RFC5912"/>
	</reference>	</reference>

	<reference anchor="RFC5280">	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.2
	<front>	119.xml"/>
	<title>Internet X.509 Public Key Infrastructure Certificate and Cert	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8
	ificate Revocation List (CRL) Profile</title>	174.xml"/>
	<author fullname="D. Cooper" initials="D." surname="Cooper"/>	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.5
	<author fullname="S. Santesson" initials="S." surname="Santesson"/>	912.xml"/>
	<author fullname="S. Farrell" initials="S." surname="Farrell"/>	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.5
	<author fullname="S. Boeyen" initials="S." surname="Boeyen"/>	280.xml"/>
	<author fullname="R. Housley" initials="R." surname="Housley"/>
	<author fullname="W. Polk" initials="W." surname="Polk"/>
	<date month="May" year="2008"/>
	<abstract>
	<t>This memo profiles the X.509 v3 certificate and X.509 v2 certif
	icate revocation list (CRL) for use in the Internet. An overview of this approac
	h and model is provided as an introduction. The X.509 v3 certificate format is d
	escribed in detail, with additional information regarding the format and semanti
	cs of Internet name forms. Standard certificate extensions are described and two
	Internet-specific extensions are defined. A set of required certificate extensi
	ons is specified. The X.509 v2 CRL format is described in detail along with stan
	dard and Internet-specific extensions. An algorithm for X.509 certification path
	validation is described. An ASN.1 module and examples are provided in the appen
	dices. [STANDARDS-TRACK]</t>
	</abstract>
	</front>
	<seriesInfo name="RFC" value="5280"/>
	<seriesInfo name="DOI" value="10.17487/RFC5280"/>
	</reference>
	<reference anchor="I-D.ietf-lamps-cms-sphincs-plus">
	<front>
	<title>Use of the SLH-DSA Signature Algorithm in the Cryptographic M
	essage Syntax (CMS)</title>
	<author fullname="Russ Housley" initials="R." surname="Housley">
	<organization>Vigil Security, LLC</organization>
	</author>
	<author fullname="Scott Fluhrer" initials="S." surname="Fluhrer">
	<organization>Cisco Systems</organization>
	</author>
	<author fullname="Panos Kampanakis" initials="P." surname="Kampanaki
	s">
	<organization>Amazon Web Services</organization>
	</author>
	<author fullname="Bas Westerbaan" initials="B." surname="Westerbaan"
	>
	<organization>Cloudflare</organization>
	</author>
	<date day="13" month="January" year="2025"/>
	<abstract>
	<t> SLH-DSA is a stateless hash-based signature scheme. This do
	cument
	specifies the conventions for using the SLH-DSA signature algorithm
	with the Cryptographic Message Syntax (CMS). In addition, the
	algorithm identifier and public key syntax are provided.


	</t>	<!-- [I-D.ietf-lamps-cms-sphincs-plus] [RFC9814]
	</abstract>	Published 7/19/2025
	</front>	-->
	<seriesInfo name="Internet-Draft" value="draft-ietf-lamps-cms-sphincs-	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.9
	plus-19"/>	814.xml"/>
	</reference>	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.5
	<reference anchor="RFC5958">	958.xml"/>
	<front>
	<title>Asymmetric Key Packages</title>
	<author fullname="S. Turner" initials="S." surname="Turner"/>
	<date month="August" year="2010"/>
	<abstract>
	<t>This document defines the syntax for private-key information an
	d a content type for it. Private-key information includes a private key for a sp
	ecified public-key algorithm and a set of attributes. The Cryptographic Message
	Syntax (CMS), as defined in RFC 5652, can be used to digitally sign, digest, aut
	henticate, or encrypt the asymmetric key format content type. This document obso
	letes RFC 5208. [STANDARDS-TRACK]</t>
	</abstract>
	</front>
	<seriesInfo name="RFC" value="5958"/>
	<seriesInfo name="DOI" value="10.17487/RFC5958"/>
	</reference>
	</references>	</references>
	<references anchor="sec-informative-references">	<references anchor="sec-informative-references">
	<name>Informative References</name>	<name>Informative References</name>
	<reference anchor="NIST-PQC" target="https://csrc.nist.gov/projects/post -quantum-cryptography">	<reference anchor="NIST-PQC" target="https://csrc.nist.gov/projects/post -quantum-cryptography">
	<front>	<front>

	<title>Post-Quantum Cryptography Project</title>	<title>Post-Quantum Cryptography (PQC)</title>
	<author>	<author>

	<organization>National Institute of Standards and Technology</orga nization>	<organization abbrev="NIST">National Institute of Standards and Te chnology</organization>
	</author>	</author>

	<date year="2016" month="December" day="20"/>	<date year="2025" month="July" day="28"/>
	</front>	</front>
	</reference>	</reference>
	<reference anchor="CMP2018" target="https://link.springer.com/chapter/10 .1007/978-3-319-79063-3_8">	<reference anchor="CMP2018" target="https://link.springer.com/chapter/10 .1007/978-3-319-79063-3_8">
	<front>	<front>
	<title>Grafting Trees: A Fault Attack Against the SPHINCS Framework< /title>	<title>Grafting Trees: A Fault Attack Against the SPHINCS Framework< /title>
	<author initials="L." surname="Castelnovi" fullname="Laurent Casteln ovi">	<author initials="L." surname="Castelnovi" fullname="Laurent Casteln ovi">
	<organization/>	<organization/>
	</author>	</author>

	<author initials="" surname="A, Martinelli" fullname="Ange Martinell i">	<author initials="A" surname="Martinelli" fullname="Ange Martinelli" >
	<organization/>	<organization/>
	</author>	</author>
	<author initials="T." surname="Prest" fullname="Thomas Prest">	<author initials="T." surname="Prest" fullname="Thomas Prest">
	<organization/>	<organization/>
	</author>	</author>
	<date year="2018"/>	<date year="2018"/>
	</front>	</front>

	<seriesInfo name="Lecture Notes in Computer Science" value="vol 10786"	<refcontent>Post-Quantum Cryptography (PQCrpyto 2018), Lecture Notes i
	/>	n Computer Science, vol. 10786, pp. 165-184</refcontent>
	<seriesInfo name="PQCrypto" value="2018"/>
	<seriesInfo name="Post-Quantum Cryptography" value="pp. 165-184"/>
	</reference>	</reference>
	<reference anchor="SLotH" target="https://eprint.iacr.org/2024/367.pdf">	<reference anchor="SLotH" target="https://eprint.iacr.org/2024/367.pdf">
	<front>	<front>
	<title>Accelerating SLH-DSA by Two Orders of Magnitude with a Single Hash Unit</title>	<title>Accelerating SLH-DSA by Two Orders of Magnitude with a Single Hash Unit</title>
	<author initials="M-J." surname="Saarinen" fullname="M-J. Saarinen">	<author initials="M-J." surname="Saarinen" fullname="M-J. Saarinen">
	<organization/>	<organization/>
	</author>	</author>
	<date year="2024"/>	<date year="2024"/>
	</front>	</front>

		<refcontent>Cryptology ePrint Archive, Paper 2024/367</refcontent>
		<seriesInfo name="DOI" value="10.1007/978-3-031-68376-3_9"/>
	</reference>	</reference>

	<reference anchor="Ge2023" target="https://doi.org/10.46586/tches.v2023. i2.80-114">	<reference anchor="Ge2023" >
	<front>	<front>
	<title>On Protecting SPHINCS+ Against Fault Attacks</title>	<title>On Protecting SPHINCS+ Against Fault Attacks</title>
	<author initials="A." surname="Genêt" fullname="Aymeric Genêt">	<author initials="A." surname="Genêt" fullname="Aymeric Genêt">
	<organization/>	<organization/>
	</author>	</author>

	<date>n.d.</date>	<date month="3" year="2023"/>
	</front>	</front>

	<seriesInfo name="TCHES" value="2023/02"/>	<refcontent>TCHES, vol. 2023, no. 2, pp. 80-114</refcontent>
		<seriesInfo name="DOI" value="10.46586/tches.v2023.i2.80-114"/>
	</reference>	</reference>
	<reference anchor="FIPS180" target="https://nvlpubs.nist.gov/nistpubs/FI PS/NIST.FIPS.180-4.pdf">	<reference anchor="FIPS180" target="https://nvlpubs.nist.gov/nistpubs/FI PS/NIST.FIPS.180-4.pdf">
	<front>	<front>

	<title>Secure Hash Standard</title>	<title>Secure Hash Standard (SHS)</title>
	<author fullname="Quynh H. Dang" surname="Dang">
	<organization>Information Technology Laboratory</organization>
	</author>
	<author>	<author>
	<organization abbrev="NIST">National Institute of Standards and Te chnology</organization>	<organization abbrev="NIST">National Institute of Standards and Te chnology</organization>

	<address>
	<postal>
	<country>US</country>
	<city>Gaithersburg</city>
	</postal>
	</address>
	</author>	</author>

	<date month="July" year="2015"/>	<date month="August" year="2015"/>
	</front>	</front>

	<seriesInfo name="NIST Federal Information Processing Standards Public ations" value="180-4"/>	<seriesInfo name="NIST FIPS" value="180-4"/>
	<seriesInfo name="DOI" value="10.6028/NIST.FIPS.180-4"/>	<seriesInfo name="DOI" value="10.6028/NIST.FIPS.180-4"/>
	</reference>	</reference>
	<reference anchor="FIPS202" target="http://nvlpubs.nist.gov/nistpubs/FIP S/NIST.FIPS.202.pdf">	<reference anchor="FIPS202" target="http://nvlpubs.nist.gov/nistpubs/FIP S/NIST.FIPS.202.pdf">
	<front>	<front>
	<title>SHA-3 Standard: Permutation-Based Hash and Extendable-Output Functions</title>	<title>SHA-3 Standard: Permutation-Based Hash and Extendable-Output Functions</title>

	<author fullname="Morris J. Dworkin" initials="M." surname="Dworkin"
	>
	<organization>National Institute of Standards and Technology</orga
	nization>
	</author>
	<author fullname="Morris J. Dworkin" surname="Dworkin">
	<organization>Information Technology Laboratory</organization>
	</author>
	<author>	<author>
	<organization abbrev="NIST">National Institute of Standards and Te chnology</organization>	<organization abbrev="NIST">National Institute of Standards and Te chnology</organization>

	<address>
	<postal>
	<country>US</country>
	<city>Gaithersburg</city>
	</postal>
	</address>
	</author>	</author>
	<date month="August" year="2015"/>	<date month="August" year="2015"/>
	</front>	</front>

	<seriesInfo name="FIPS" value="PUB 202"/>	<seriesInfo name="NIST FIPS" value="202"/>
	<seriesInfo name="NIST Federal Information Processing Standards Public
	ations" value="202"/>
	<seriesInfo name="DOI" value="10.6028/nist.fips.202"/>
	<seriesInfo name="DOI" value="10.6028/NIST.FIPS.202"/>	<seriesInfo name="DOI" value="10.6028/NIST.FIPS.202"/>
	</reference>	</reference>

	<reference anchor="RFC7468">	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.7
	<front>	468.xml"/>
	<title>Textual Encodings of PKIX, PKCS, and CMS Structures</title>	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8
	<author fullname="S. Josefsson" initials="S." surname="Josefsson"/>	410.xml"/>
	<author fullname="S. Leonard" initials="S." surname="Leonard"/>	<!-- [I-D.ietf-lamps-dilithium-certificates-12] [RFC9881]
	<date month="April" year="2015"/>	Published 10/29/2025
	<abstract>	-->
	<t>This document describes and discusses the textual encodings of	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.9
	the Public-Key Infrastructure X.509 (PKIX), Public-Key Cryptography Standards (P	881.xml"/>
	KCS), and Cryptographic Message Syntax (CMS). The textual encodings are well-kno	<xi:include href="https://bib.ietf.org/public/rfc/bibxml/reference.RFC.8
	wn, are implemented by several applications and libraries, and are widely deploy	411.xml"/>
	ed. This document articulates the de facto rules by which existing implementatio
	ns operate and defines them so that future implementations can interoperate.</t>
	</abstract>
	</front>
	<seriesInfo name="RFC" value="7468"/>
	<seriesInfo name="DOI" value="10.17487/RFC7468"/>
	</reference>
	<reference anchor="RFC8410">
	<front>
	<title>Algorithm Identifiers for Ed25519, Ed448, X25519, and X448 fo
	r Use in the Internet X.509 Public Key Infrastructure</title>
	<author fullname="S. Josefsson" initials="S." surname="Josefsson"/>
	<author fullname="J. Schaad" initials="J." surname="Schaad"/>
	<date month="August" year="2018"/>
	<abstract>
	<t>This document specifies algorithm identifiers and ASN.1 encodin
	g formats for elliptic curve constructs using the curve25519 and curve448 curves
	. The signature algorithms covered are Ed25519 and Ed448. The key agreement algo
	rithms covered are X25519 and X448. The encoding for public key, private key, an
	d Edwards-curve Digital Signature Algorithm (EdDSA) structures is provided.</t>
	</abstract>
	</front>
	<seriesInfo name="RFC" value="8410"/>
	<seriesInfo name="DOI" value="10.17487/RFC8410"/>
	</reference>
	<reference anchor="I-D.ietf-lamps-dilithium-certificates">
	<front>
	<title>Internet X.509 Public Key Infrastructure - Algorithm Identifi
	ers for the Module-Lattice-Based Digital Signature Algorithm (ML-DSA)</title>
	<author fullname="Jake Massimo" initials="J." surname="Massimo">
	<organization>AWS</organization>
	</author>
	<author fullname="Panos Kampanakis" initials="P." surname="Kampanaki
	s">
	<organization>AWS</organization>
	</author>
	<author fullname="Sean Turner" initials="S." surname="Turner">
	<organization>sn3rd</organization>
	</author>
	<author fullname="Bas Westerbaan" initials="B." surname="Westerbaan"
	>
	<organization>Cloudflare</organization>
	</author>
	<date day="26" month="June" year="2025"/>
	<abstract>
	<t> Digital signatures are used within X.509 certificates, Certi
	ficate
	Revocation Lists (CRLs), and to sign messages. This document
	specifies the conventions for using FIPS 204, the Module-Lattice-
	Based Digital Signature Algorithm (ML-DSA) in Internet X.509
	certificates and certificate revocation lists. The conventions for
	the associated signatures, subject public keys, and private key are
	also described.

	</t>
	</abstract>
	</front>
	<seriesInfo name="Internet-Draft" value="draft-ietf-lamps-dilithium-ce
	rtificates-12"/>
	</reference>
	<reference anchor="RFC8411">
	<front>
	<title>IANA Registration for the Cryptographic Algorithm Object Iden
	tifier Range</title>
	<author fullname="J. Schaad" initials="J." surname="Schaad"/>
	<author fullname="R. Andrews" initials="R." surname="Andrews"/>
	<date month="August" year="2018"/>
	<abstract>
	<t>When the Curdle Security Working Group was chartered, a range o
	f object identifiers was donated by DigiCert, Inc. for the purpose of registerin
	g the Edwards Elliptic Curve key agreement and signature algorithms. This donate
	d set of OIDs allowed for shorter values than would be possible using the existi
	ng S/MIME or PKIX arcs. This document describes the donated range and the identi
	fiers that were assigned from that range, transfers control of that range to IAN
	A, and establishes IANA allocation policies for any future assignments within th
	at range.</t>
	</abstract>
	</front>
	<seriesInfo name="RFC" value="8411"/>
	<seriesInfo name="DOI" value="10.17487/RFC8411"/>
	</reference>
	</references>	</references>
	</references>	</references>
	<?line 752?>	<?line 752?>

	<section anchor="sec-asn1">	<section anchor="sec-asn1">
	<name>ASN.1 Module</name>	<name>ASN.1 Module</name>
	<t>This appendix includes the ASN.1 module <xref target="X680"/> for SLH-D SA. Note that	<t>This appendix includes the ASN.1 module <xref target="X680"/> for SLH-D SA. Note that
	as per <xref target="RFC5280"/>, certificates use the Distinguished Encoding Rul es; see	as per <xref target="RFC5280"/>, certificates use the Distinguished Encoding Rul es; see

	<xref target="X690"/>. This module imports objects from <xref target="RFC5912"/>	<xref target="X690"/>. This module imports objects from <xref target="RFC5912"/>
	and <xref target="I-D.ietf-lamps-cms-sphincs-plus"/>.</t>	and <xref target="RFC9814"/>.</t>
	<aside>	<sourcecode type="asn.1" markers="true"><![CDATA[
	<t>RFC EDITOR: Please replace <xref target="I-D.ietf-lamps-cms-sphincs-p	X509-SLH-DSA-Module-2025
	lus"/> throughout this document with a reference to the published RFC.</t>
	</aside>
	<sourcecode type="asn.1"><![CDATA[
	<CODE BEGINS>
	X509-SLH-DSA-Module-2024
	{ iso(1) identified-organization(3) dod(6) internet(1) security(5)	{ iso(1) identified-organization(3) dod(6) internet(1) security(5)

	mechanisms(5) pkix(7) id-mod(0) id-mod-x509-slh-dsa-2024(TBD1) }	mechanisms(5) pkix(7) id-mod(0) id-mod-x509-slh-dsa-2025(120) }

	DEFINITIONS IMPLICIT TAGS ::= BEGIN	DEFINITIONS IMPLICIT TAGS ::= BEGIN

	EXPORTS ALL;	EXPORTS ALL;

	IMPORTS	IMPORTS
	PUBLIC-KEY, SIGNATURE-ALGORITHM, SMIME-CAPS	PUBLIC-KEY, SIGNATURE-ALGORITHM, SMIME-CAPS
	FROM AlgorithmInformation-2009 -- in [RFC5912]	FROM AlgorithmInformation-2009 -- in [RFC5912]
	{ iso(1) identified-organization(3) dod(6) internet(1)	{ iso(1) identified-organization(3) dod(6) internet(1)
	security(5) mechanisms(5) pkix(7) id-mod(0)	security(5) mechanisms(5) pkix(7) id-mod(0)

	skipping to change at line 995 ¶	skipping to change at line 807 ¶
	pk-slh-dsa-sha2-256s, pk-slh-dsa-sha2-256f,	pk-slh-dsa-sha2-256s, pk-slh-dsa-sha2-256f,
	pk-slh-dsa-shake-128s, pk-slh-dsa-shake-128f,	pk-slh-dsa-shake-128s, pk-slh-dsa-shake-128f,
	pk-slh-dsa-shake-192s, pk-slh-dsa-shake-192f,	pk-slh-dsa-shake-192s, pk-slh-dsa-shake-192f,
	pk-slh-dsa-shake-256s, pk-slh-dsa-shake-256f,	pk-slh-dsa-shake-256s, pk-slh-dsa-shake-256f,
	sa-slh-dsa-sha2-128s, sa-slh-dsa-sha2-128f,	sa-slh-dsa-sha2-128s, sa-slh-dsa-sha2-128f,
	sa-slh-dsa-sha2-192s, sa-slh-dsa-sha2-192f,	sa-slh-dsa-sha2-192s, sa-slh-dsa-sha2-192f,
	sa-slh-dsa-sha2-256s, sa-slh-dsa-sha2-256f,	sa-slh-dsa-sha2-256s, sa-slh-dsa-sha2-256f,
	sa-slh-dsa-shake-128s, sa-slh-dsa-shake-128f,	sa-slh-dsa-shake-128s, sa-slh-dsa-shake-128f,
	sa-slh-dsa-shake-192s, sa-slh-dsa-shake-192f,	sa-slh-dsa-shake-192s, sa-slh-dsa-shake-192f,
	sa-slh-dsa-shake-256s, sa-slh-dsa-shake-256f	sa-slh-dsa-shake-256s, sa-slh-dsa-shake-256f

	FROM SLH-DSA-Module-2024 -- in [I-D.ietf-lamps-cms-sphincs-plus]	FROM SLH-DSA-Module-2024 -- in [RFC9814]
	{ iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs9(9)	{ iso(1) member-body(2) us(840) rsadsi(113549) pkcs(1) pkcs9(9)
	id-smime(16) id-mod(0) id-mod-slh-dsa-2024(81) } ;	id-smime(16) id-mod(0) id-mod-slh-dsa-2024(81) } ;

	--	--
	-- HashSLH-DSA object identifiers from [CSOR]	-- HashSLH-DSA object identifiers from [CSOR]
	--	--

	nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-itu-t(2)	nistAlgorithms OBJECT IDENTIFIER ::= { joint-iso-itu-t(2)
	country(16) us(840) organization(1) gov(101) csor(3) 4 }	country(16) us(840) organization(1) gov(101) csor(3) 4 }


	skipping to change at line 1308 ¶	skipping to change at line 1120 ¶
	pk-hash-slh-dsa-sha2-256f-with-sha512 \|	pk-hash-slh-dsa-sha2-256f-with-sha512 \|
	pk-hash-slh-dsa-shake-128s-with-shake128 \|	pk-hash-slh-dsa-shake-128s-with-shake128 \|
	pk-hash-slh-dsa-shake-128f-with-shake128 \|	pk-hash-slh-dsa-shake-128f-with-shake128 \|
	pk-hash-slh-dsa-shake-192s-with-shake256 \|	pk-hash-slh-dsa-shake-192s-with-shake256 \|
	pk-hash-slh-dsa-shake-192f-with-shake256 \|	pk-hash-slh-dsa-shake-192f-with-shake256 \|
	pk-hash-slh-dsa-shake-256s-with-shake256 \|	pk-hash-slh-dsa-shake-256s-with-shake256 \|
	pk-hash-slh-dsa-shake-256f-with-shake256,	pk-hash-slh-dsa-shake-256f-with-shake256,
	... }	... }

	END	END

	<CODE ENDS>
	]]></sourcecode>	]]></sourcecode>
	</section>	</section>
	<section anchor="security-strengths">	<section anchor="security-strengths">
	<name>Security Strengths</name>	<name>Security Strengths</name>

	<t>Instead of defining the strength of a quantum algorithm in a traditiona	<t>Instead of defining the strength of a quantum algorithm using the
	l manner using precise estimates of the number of bits of security, NIST defined	number of bits of security, NIST defined a collection of broad security strengt
	a collection of broad security strength categories. Each category is defined b	h categories. Each category is defined by a comparatively easy-to-analyze refer
	y a comparatively easy-to-analyze reference primitive that cover a range of secu	ence primitive that covers a range of security strengths offered by existing NIS
	rity strengths offered by existing NIST standards in symmetric cryptography, whi	T standards in symmetric cryptography, which NIST expects to offer significant r
	ch NIST expects to offer significant resistance to quantum cryptanalysis. These	esistance to quantum cryptanalysis. These categories describe any attack that b
	categories describe any attack that breaks the relevant security definition tha	reaks the relevant security definition that must require computational resources
	t must require computational resources comparable to or greater than those requi	comparable to or greater than those required for:</t>
	red for: Level 1 - key search on a block cipher with a 128-bit key (e.g., AES128	<ul spacing="normal">
	), Level 2 - collision search on a 256-bit hash function (e.g., SHA256/ SHA3-256	<li>Level 1 - key search on a block cipher with a 128-bit key (e.g., AES128),<
	), Level 3 - key search on a block cipher with a 192-bit key (e.g., AES192), Lev	/li>
	el 4 - collision search on a 384-bit hash function (e.g. SHA384/SHA3-384), Leve	<li>Level 2 - collision search on a 256-bit hash function (e.g., SHA256/ SHA3-
	l 5 - key search on a block cipher with a 256-bit key (e.g., AES 256).</t>	256),</li>
	<t>The SLH-DSA parameter sets defined for NIST security levels 1, 3 and 5	<li>Level 3 - key search on a block cipher with a 192-bit key (e.g., AES192),<
	are listed in <xref target="tab-strengths"/>, along with the resulting signature	/li>
	size, public key, and private key sizes in bytes. The HashSLH-DSA parameter se	<li>Level 4 - collision search on a 384-bit hash function (e.g., SHA384/SHA3-
	ts have the same values as the Pure SLH-DSA equivalents.</t>	384), and</li>
		<li>Level 5 - key search on a block cipher with a 256-bit key (e.g., AES 256).
		</li>
		</ul>
		<t>The SLH-DSA parameter sets defined for NIST security levels 1, 3, and 5
		are listed in <xref target="tab-strengths"/>, along with the resulting signatur
		e, public key, and private key sizes in bytes. The HashSLH-DSA parameter sets h
		ave the same values as the Pure SLH-DSA equivalents.</t>
	<table anchor="tab-strengths">	<table anchor="tab-strengths">

	<name>SLH-DSA security strengths</name>	<name>SLH-DSA Security Strengths</name>
	<thead>	<thead>
	<tr>	<tr>

	<th align="left">OID</th>	<th rowspan="2" align="left">OID</th>
	<th align="left">NIST Level</th>	<th rowspan="2" align="left">NIST Level</th>
		<th colspan="3" align="center">Size (in bytes)</th>
		</tr>
		<tr>
	<th align="left">Sig.</th>	<th align="left">Sig.</th>
	<th align="left">Pub. Key</th>	<th align="left">Pub. Key</th>
	<th align="left">Priv. Key</th>	<th align="left">Priv. Key</th>
	</tr>	</tr>
	</thead>	</thead>
	<tbody>	<tbody>
	<tr>	<tr>
	<td align="left">id-(hash-)slh-dsa-sha2-128s</td>	<td align="left">id-(hash-)slh-dsa-sha2-128s</td>
	<td align="left">1</td>	<td align="left">1</td>
	<td align="left">7856</td>	<td align="left">7856</td>

	skipping to change at line 1416 ¶	skipping to change at line 1237 ¶
	<td align="left">5</td>	<td align="left">5</td>
	<td align="left">49856</td>	<td align="left">49856</td>
	<td align="left">64</td>	<td align="left">64</td>
	<td align="left">128</td>	<td align="left">128</td>
	</tr>	</tr>
	</tbody>	</tbody>
	</table>	</table>
	</section>	</section>
	<section anchor="examples">	<section anchor="examples">
	<name>Examples</name>	<name>Examples</name>

	<t>This appendix contains examples of SLH-DSA public keys, private keys an d certificates.</t>	<t>This appendix contains examples of SLH-DSA public keys, private keys, a nd certificates.</t>
	<section anchor="example-public">	<section anchor="example-public">
	<name>Example Public Key</name>	<name>Example Public Key</name>
	<t>An example of an SLH-DSA public key using id-slh-dsa-sha2-128s:</t>	<t>An example of an SLH-DSA public key using id-slh-dsa-sha2-128s:</t>
	<artwork><![CDATA[	<artwork><![CDATA[
	-----BEGIN PUBLIC KEY-----	-----BEGIN PUBLIC KEY-----
	MDAwCwYJYIZIAWUDBAMUAyEAK4EJ7Hd8qk4fAkzPz5SX2ZGAUJKA9CVq8rB6+AKJ	MDAwCwYJYIZIAWUDBAMUAyEAK4EJ7Hd8qk4fAkzPz5SX2ZGAUJKA9CVq8rB6+AKJ
	tJQ=	tJQ=

	]]></artwork>	-----END PUBLIC KEY-----]]></artwork>
	<artwork><![CDATA[
		<sourcecode type=""><![CDATA[
	0 48: SEQUENCE {	0 48: SEQUENCE {
	2 11: SEQUENCE {	2 11: SEQUENCE {
	4 9: OBJECT IDENTIFIER '2 16 840 1 101 3 4 3 20'	4 9: OBJECT IDENTIFIER '2 16 840 1 101 3 4 3 20'
	: }	: }
	15 33: BIT STRING	15 33: BIT STRING
	: 2B 81 09 EC 77 7C AA 4E 1F 02 4C CF CF 94 97 D9	: 2B 81 09 EC 77 7C AA 4E 1F 02 4C CF CF 94 97 D9
	: 91 80 50 92 80 F4 25 6A F2 B0 7A F8 02 89 B4 94	: 91 80 50 92 80 F4 25 6A F2 B0 7A F8 02 89 B4 94

	: }	: }]]></sourcecode>
	]]></artwork>
	</section>	</section>
	<section anchor="example-private">	<section anchor="example-private">
	<name>Example Private Key</name>	<name>Example Private Key</name>
	<t>An example of an SLH-DSA private key without the public key using id- slh-dsa-sha2-128s:</t>	<t>An example of an SLH-DSA private key without the public key using id- slh-dsa-sha2-128s:</t>
	<artwork><![CDATA[	<artwork><![CDATA[
	-----BEGIN PRIVATE KEY-----	-----BEGIN PRIVATE KEY-----
	MFICAQAwCwYJYIZIAWUDBAMUBECiJjvKRYYINlIxYASVI9YhZ3+tkNUetgZ6Mn4N	MFICAQAwCwYJYIZIAWUDBAMUBECiJjvKRYYINlIxYASVI9YhZ3+tkNUetgZ6Mn4N
	HmSlASuBCex3fKpOHwJMz8+Ul9mRgFCSgPQlavKwevgCibSU	HmSlASuBCex3fKpOHwJMz8+Ul9mRgFCSgPQlavKwevgCibSU

	]]></artwork>	-----END PRIVATE KEY-----]]></artwork>
	<artwork><![CDATA[
		<sourcecode type=""><![CDATA[
	0 82: SEQUENCE {	0 82: SEQUENCE {
	2 1: INTEGER 0	2 1: INTEGER 0
	5 11: SEQUENCE {	5 11: SEQUENCE {
	7 9: OBJECT IDENTIFIER '2 16 840 1 101 3 4 3 20'	7 9: OBJECT IDENTIFIER '2 16 840 1 101 3 4 3 20'
	: }	: }
	18 64: OCTET STRING	18 64: OCTET STRING
	: A2 26 3B CA 45 86 08 36 52 31 60 04 95 23 D6 21	: A2 26 3B CA 45 86 08 36 52 31 60 04 95 23 D6 21
	: 67 7F AD 90 D5 1E B6 06 7A 32 7E 0D 1E 64 A5 01	: 67 7F AD 90 D5 1E B6 06 7A 32 7E 0D 1E 64 A5 01
	: 2B 81 09 EC 77 7C AA 4E 1F 02 4C CF CF 94 97 D9	: 2B 81 09 EC 77 7C AA 4E 1F 02 4C CF CF 94 97 D9
	: 91 80 50 92 80 F4 25 6A F2 B0 7A F8 02 89 B4 94	: 91 80 50 92 80 F4 25 6A F2 B0 7A F8 02 89 B4 94

	: }	: }]]></sourcecode>
	]]></artwork>
	</section>	</section>
	<section anchor="example-certificate">	<section anchor="example-certificate">
	<name>Example Certificate</name>	<name>Example Certificate</name>
	<t>An example of a self-signed SLH-DSA certificate using id-slh-dsa-sha2 -128s:</t>	<t>An example of a self-signed SLH-DSA certificate using id-slh-dsa-sha2 -128s:</t>
	<artwork><![CDATA[	<artwork><![CDATA[
	Certificate:	Certificate:
	Data:	Data:
	Version: 3 (0x2)	Version: 3 (0x2)
	Serial Number:	Serial Number:
	43:85:63:a2:69:01:99:2c:39:cf:bc:40:57:1b:5f:a3:	43:85:63:a2:69:01:99:2c:39:cf:bc:40:57:1b:5f:a3:

	skipping to change at line 1932 ¶	skipping to change at line 1752 ¶
	e0:05:95:e0:fa:9d:80:07:58:b4:12:5e:34:43:04:ad:90:9f:	e0:05:95:e0:fa:9d:80:07:58:b4:12:5e:34:43:04:ad:90:9f:
	3f:be:31:ca:3d:d3:c9:d0:b7:91:c7:5c:d0:2b:81:73:34:bf:	3f:be:31:ca:3d:d3:c9:d0:b7:91:c7:5c:d0:2b:81:73:34:bf:
	ca:a5:6e:23:4f:b3:f3:b4:bf:03:f4:bd:af:fd:d7:09:8b:65:	ca:a5:6e:23:4f:b3:f3:b4:bf:03:f4:bd:af:fd:d7:09:8b:65:
	a3:0c:76:dc:1e:7c:97:d2:be:85:d4:65:6d:f9:3d:6e:ae:6c:	a3:0c:76:dc:1e:7c:97:d2:be:85:d4:65:6d:f9:3d:6e:ae:6c:
	57:f4:10:40:21:d6:04:2d:9b:9b:e5:95:90:9c:52:a8:ad:61:	57:f4:10:40:21:d6:04:2d:9b:9b:e5:95:90:9c:52:a8:ad:61:
	8b:cd:b0:12:c1:13:26:c3:4d:8e:22:82:82:9b:fe:6d:01:e7:	8b:cd:b0:12:c1:13:26:c3:4d:8e:22:82:82:9b:fe:6d:01:e7:
	3c:65:79:b4:79:9f:9e:b0:10:dd:5e:6a:57:43:8c:6b:41:d5:	3c:65:79:b4:79:9f:9e:b0:10:dd:5e:6a:57:43:8c:6b:41:d5:
	e6:ab:94:ba:c7:67:a5:b4:41:d8:10:0c:fd:29:77:e2:0b:cd:	e6:ab:94:ba:c7:67:a5:b4:41:d8:10:0c:fd:29:77:e2:0b:cd:
	29:80:2e:ae:5e:a5:85:a3:a2:09:31:51:82:98:0b:2c:7a:6b:	29:80:2e:ae:5e:a5:85:a3:a2:09:31:51:82:98:0b:2c:7a:6b:
	96:ef:8d:c0:f5:1f:98:b4:f6:22:b6:21:6e:36:e3:bb:18:da:	96:ef:8d:c0:f5:1f:98:b4:f6:22:b6:21:6e:36:e3:bb:18:da:

	1d:24:46:0d:65:28:b6:6a	1d:24:46:0d:65:28:b6:6a]]></artwork>
	]]></artwork>
	<artwork><![CDATA[	<artwork><![CDATA[
	-----BEGIN CERTIFICATE-----	-----BEGIN CERTIFICATE-----
	MIIgLTCCAWegAwIBAgIUQ4VjomkBmSw5z7xAVxtfo8zHiEUwCwYJYIZIAWUDBAMU	MIIgLTCCAWegAwIBAgIUQ4VjomkBmSw5z7xAVxtfo8zHiEUwCwYJYIZIAWUDBAMU
	MEIxCzAJBgNVBAYTAkZSMQ4wDAYDVQQHDAVQYXJpczEjMCEGA1UECgwaQm9ndXMg	MEIxCzAJBgNVBAYTAkZSMQ4wDAYDVQQHDAVQYXJpczEjMCEGA1UECgwaQm9ndXMg
	U0xILURTQS1TSEEyLTEyOHMgQ0EwHhcNMjQxMDE2MTM0MjEyWhcNMzQxMDE0MTM0	U0xILURTQS1TSEEyLTEyOHMgQ0EwHhcNMjQxMDE2MTM0MjEyWhcNMzQxMDE0MTM0
	MjEyWjBCMQswCQYDVQQGEwJGUjEOMAwGA1UEBwwFUGFyaXMxIzAhBgNVBAoMGkJv	MjEyWjBCMQswCQYDVQQGEwJGUjEOMAwGA1UEBwwFUGFyaXMxIzAhBgNVBAoMGkJv
	Z3VzIFNMSC1EU0EtU0hBMi0xMjhzIENBMDAwCwYJYIZIAWUDBAMUAyEAK4EJ7Hd8	Z3VzIFNMSC1EU0EtU0hBMi0xMjhzIENBMDAwCwYJYIZIAWUDBAMUAyEAK4EJ7Hd8
	qk4fAkzPz5SX2ZGAUJKA9CVq8rB6+AKJtJSjYzBhMB0GA1UdDgQWBBTNWTaq/sQR	qk4fAkzPz5SX2ZGAUJKA9CVq8rB6+AKJtJSjYzBhMB0GA1UdDgQWBBTNWTaq/sQR
	x6RyaT8L6LOLIXsZ7TAfBgNVHSMEGDAWgBTNWTaq/sQRx6RyaT8L6LOLIXsZ7TAP	x6RyaT8L6LOLIXsZ7TAfBgNVHSMEGDAWgBTNWTaq/sQRx6RyaT8L6LOLIXsZ7TAP
	BgNVHRMBAf8EBTADAQH/MA4GA1UdDwEB/wQEAwIBBjALBglghkgBZQMEAxQDgh6x	BgNVHRMBAf8EBTADAQH/MA4GA1UdDwEB/wQEAwIBBjALBglghkgBZQMEAxQDgh6x

	skipping to change at line 2108 ¶	skipping to change at line 1928 ¶
	cI4jjWHXjUsxb3lIjLC+AUjyTj0qT+BVkHI+0wxc9/gVReQQ362c0CPDu6NScAji	cI4jjWHXjUsxb3lIjLC+AUjyTj0qT+BVkHI+0wxc9/gVReQQ362c0CPDu6NScAji
	+q66sHQ13aZL+5q3PCgXhwhwR0JeWDqmhKyUNEFcPNGsCrS/ocbawlmjIsym4+nV	+q66sHQ13aZL+5q3PCgXhwhwR0JeWDqmhKyUNEFcPNGsCrS/ocbawlmjIsym4+nV
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	oclhl0rmOqsWZLPfFlre5fm6XX3rBPX08PB95Bp0/H0DFqTK9uAFleD6nYAHWLQS	oclhl0rmOqsWZLPfFlre5fm6XX3rBPX08PB95Bp0/H0DFqTK9uAFleD6nYAHWLQS
	XjRDBK2Qnz++Mco908nQt5HHXNArgXM0v8qlbiNPs/O0vwP0va/91wmLZaMMdtwe	XjRDBK2Qnz++Mco908nQt5HHXNArgXM0v8qlbiNPs/O0vwP0va/91wmLZaMMdtwe
	fJfSvoXUZW35PW6ubFf0EEAh1gQtm5vllZCcUqitYYvNsBLBEybDTY4igoKb/m0B	fJfSvoXUZW35PW6ubFf0EEAh1gQtm5vllZCcUqitYYvNsBLBEybDTY4igoKb/m0B
	5zxlebR5n56wEN1ealdDjGtB1earlLrHZ6W0QdgQDP0pd+ILzSmALq5epYWjogkx	5zxlebR5n56wEN1ealdDjGtB1earlLrHZ6W0QdgQDP0pd+ILzSmALq5epYWjogkx
	UYKYCyx6a5bvjcD1H5i09iK2IW4247sY2h0kRg1lKLZq	UYKYCyx6a5bvjcD1H5i09iK2IW4247sY2h0kRg1lKLZq

	]]></artwork>	-----END CERTIFICATE-----]]></artwork>
	</section>	</section>
	</section>	</section>
	<section numbered="false" anchor="acknowledgments">	<section numbered="false" anchor="acknowledgments">
	<name>Acknowledgments</name>	<name>Acknowledgments</name>

	<t>Much of the structure and text of this document is based on <xref targe t="RFC8410"/> and <xref target="I-D.ietf-lamps-dilithium-certificates"/>. The re mainder comes from <xref target="I-D.ietf-lamps-cms-sphincs-plus"/>. Thanks to t hose authors, and the ones they based their work on, for making our work easier. "Copying always makes things easier and less error prone" - <xref target="RFC84 11"/>. Thanks to Sean Turner for helpful text and to Markku-Juhani O. Saarinen f or side-channel clarifications.</t>	<t>Much of the structure and text of this document is based on <xref targe t="RFC8410"/> and <xref target="RFC9881"/>. The remainder comes from <xref targe t="RFC9814"/>. Thanks to the authors of those documents, and the ones they based their work on, for making our work easier. "Copying always makes things easier and less error prone" <xref target="RFC8411"/>. Thanks to <contact fullname="Sea n Turner"/> for helpful text and to <contact fullname="Markku-Juhani O. Saarinen "/> for side-channel clarifications.</t>
	</section>	</section>
	</back>	</back>

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