LAMPS WG | P. Kampanakis |
Internet-Draft | Cisco Systems |
Intended status: Standards Track | Q. Dang |
Expires: April 22, 2019 | NIST |
October 19, 2018 |
Internet X.509 Public Key Infrastructure: Additional Algorithm Identifiers for RSASSA-PSS and ECDSA using SHAKEs as Hash Functions
draft-ietf-lamps-pkix-shake-03
Digital signatures are used to sign messages, X.509 certificates and CRLs (Certificate Revocation Lists). This document describes the conventions for using the SHAKE family of hash functions in the Internet X.509 as one-way hash functions with the RSA Probabilistic Signature Scheme and ECDSA signature algorithms. The conventions for the associated subject public keys are also described.
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[ EDNOTE: Remove this section before publication. ]
This document describes several cryptographic algorithm identifiers for several cryptographic algorithms which use variable length output SHAKE functions introduced in [SHA3] which can be used with the Internet X.509 Certificate and CRL profile [RFC5280].
The SHA-3 family of one-way hash functions is specified in [SHA3]. In the SHA-3 family, two extendable-output functions (SHAKEs): SHAKE128 and SHAKE256, are defined. Four other hash function instances, SHA3-224, SHA3-256, SHA3-384, and SHA3-512 are also defined but are out of scope for this document. A SHAKE is a variable length hash function. The output length, in bits, of a SHAKE is defined by the d parameter. The corresponding collision and second preimage resistance strengths for SHAKE128 are min(d/2,128) and min(d,128) bits respectively. And, the corresponding collision and second preimage resistance strengths for SHAKE256 are min(d/2,256) and min(d,256) bits respectively.
A SHAKE can be used as the message digest function (to hash the message to be signed) in RSASSA-PSS and ECDSA and as the hash in the mask generating function in RSASSA-PSS. In Section 4, we define four new OIDs for RSASSA-PSS and ECDSA when SHAKE128 and SHAKE256 are used. The same algorithm identifiers are used for identifying a public key, and identifying a signature.
The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in [RFC2119].
The new identifiers for RSASSA-PSS signatures using SHAKEs are below.
id-RSASSA-PSS-SHAKE128 OBJECT IDENTIFIER ::= { TBD }
id-RSASSA-PSS-SHAKE256 OBJECT IDENTIFIER ::= { TBD } [ EDNOTE: "TBD" will be specified by NIST later. ]
The new algorithm identifiers of ECDSA signatures using SHAKEs are below.
id-ecdsa-with-shake128 OBJECT IDENTIFIER ::= { joint-iso-ccitt(2) country(16) us(840) organization(1) gov(101) csor(3) algorithms(4) id-ecdsa-with-shake(3) TBD }
id-ecdsa-with-shake256 OBJECT IDENTIFIER ::= { joint-iso-ccitt(2) country(16) us(840) organization(1) gov(101) csor(3) algorithms(4) id-ecdsa-with-shake(3) TBD } [ EDNOTE: "TBD" will be specified by NIST later. ]
The parameters for these four identifiers above MUST be absent. That is, the identifier SHALL be a SEQUENCE of one component, the OID.
Section 5.1.1 and Section 5.1.2 specify the required output length for each use of SHAKE128 or SHAKE256 in RSASSA-PSS and ECDSA. In summary, when hashing messages to be signed, output lengths of SHAKE128 and SHAKE256 are 256 and 512 bits respectively. When the SHAKEs are used as mask generation functions, their output lengths are (n - 264) or (n - 520) bits respectively, where n is a RSA modulus size in bits.
Signatures can be placed in a number of different ASN.1 structures. The top level structure for an X.509 certificate, to illustrate how signatures are frequently encoded with an algorithm identifier and a location for the signature, is
Certificate ::= SEQUENCE { tbsCertificate TBSCertificate, signatureAlgorithm AlgorithmIdentifier, signatureValue BIT STRING }
The identifiers defined in Section 4 can be used as the AlgorithmIdentifier in the signatureAlgorithm field in the sequence Certificate and the signature field in the sequence tbsCertificate in X.509 [RFC5280].
Conforming CA implementations MUST specify the algorithms explicitly by using the OIDs specified in Section 4 when encoding RSASSA-PSS and ECDSA with SHAKE signatures in certificates and CRLs. Encoding rules for RSASSA-PSS and ECDSA signature values are specified in [RFC4055] and [RFC5480] respectively.
Conforming client implementations that process RSASSA-PSS and ECDSA with SHAKE signatures when processing certificates and CRLs MUST recognize the corresponding OIDs.
The RSASSA-PSS algorithm is defined in [RFC8017]. When id-RSASSA-PSS-SHAKE128 or id-RSASSA-PSS-SHAKE256 specified in Section 4 is used, the encoding MUST omit the parameters field. That is, the AlgorithmIdentifier SHALL be a SEQUENCE of one component, id-RSASSA-PSS-SHAKE128 or id-RSASSA-PSS-SHAKE256.
The hash algorithm to hash a message being signed and the hash algorithm as the mask generation function "MGF(H, emLen - hLen - 1)" [RFC8017] used in RSASSA-PSS MUST be the same, SHAKE128 or SHAKE256 respectively. The output-length of the hash algorithm which hashes the message SHALL be 32 or 64 bytes respectively.
SHAKE128(mgfSeed, maskLen)
SHAKE256(mgfSeed, maskLen)
In RSASSA-PSS, a mask generation function takes an octet string of variable length and a desired output length as input, and outputs an octet string of the desired length. In RSASSA-PSS with SHAKES, the SHAKEs MUST be used natively as the MGF function, instead of the MGF1 algorithm that uses the hash function in multiple iterations as specified in Section B.2.1 of [RFC8017]. In other words, the MGF is defined as
The RSASSA-PSS saltLength MUST be 32 or 64 bytes respectively. Finally, the trailerField MUST be 1, which represents the trailer field with hexadecimal value 0xBC [RFC8017].
The Elliptic Curve Digital Signature Algorithm (ECDSA) is defined in [X9.62]. When the id-ecdsa-with-SHAKE128 or id-ecdsa-with-SHAKE256 (specified in Section 4) algorithm identifier appears, the respective SHAKE function (SHAKE128 or SHAKE256) is used as the hash. The encoding MUST omit the parameters field. That is, the AlgorithmIdentifier SHALL be a SEQUENCE of one component, the OID id-ecdsa-with-SHAKE128 or id-ecdsa-with-SHAKE256.
For simplicity and compliance with the ECDSA standard specification, the output size of the hash function must be explicitly determined. The output size, d, for SHAKE128 or SHAKE256 used in ECDSA MUST be 256 or 512 bits respectively.
Conforming CA implementations that generate ECDSA with SHAKE signatures in certificates or CRLs MUST generate such signatures with a deterministicly generated, non-random k in accordance with all the requirements specified in [RFC6979]. They MAY also generate such signatures in accordance with all other recommendations in [X9.62] or [SEC1] if they have a stated policy that requires conformance to these standards. These standards may have not specified SHAKE128 and SHAKE256 as hash algorithm options. However, SHAKE128 and SHAKE256 with output length being 32 and 64 octets respectively are subtitutions for 256 and 512-bit output hash algorithms such as SHA256 and SHA512 used in the standards.
In Section 3.2 "Generation of k" of [RFC6979], HMAC is used to derive the deterministic k. Conforming implementations that generate deterministic ECDSA with SHAKE signatures in X.509 MUST use KMAC with SHAKE128 or KMAC with SHAKE256 as specfied in [SP800-185] when SHAKE128 or SHAKE256 is used as the message hashing algorithm, respectively. In this situation, KMAC with SHAKE128 and KMAC with SHAKE256 have 256-bit and 512-bit outputs respectively, and the optional customization bit string S is an empty string.
Certificates conforming to [RFC5280] can convey a public key for any public key algorithm. The certificate indicates the algorithm through an algorithm identifier. This algorithm identifier is an OID and optionally associated parameters.
In the X.509 certificate, the subjectPublicKeyInfo field has the SubjectPublicKeyInfo type, which has the following ASN.1 syntax:
SubjectPublicKeyInfo ::= SEQUENCE { algorithm AlgorithmIdentifier, subjectPublicKey BIT STRING }
The fields in SubjectPublicKeyInfo have the following meanings:
Conforming CA implementations MUST specify the algorithms explicitly by using the OIDs specified in Section 4 when encoding RSASSA-PSS and ECDSA with SHAKE public keys in certificates and CRLs. The conventions for RSASSA-PSS and ECDSA public keys algorithm identifiers are as specified in [RFC3279], [RFC4055] and [RFC5480] , but we include them below for convenience.
[RFC3279] defines the following OID for RSA AlgorithmIdentifier in the SubjectPublicKeyInfo with NULL parameters.
rsaEncryption OBJECT IDENTIFIER ::= { pkcs-1 1}
Additionally, when the RSA private key owner wishes to limit the use of the public key exclusively to RSASSA-PSS, the AlgorithmIdentifiers for RSASSA-PSS defined in Section 4 can be used as the algorithm field in the SubjectPublicKeyInfo sequence [RFC5280]. The identifier parameters, as explained in section Section 4, MUST be absent.
Regardless of what public key algorithm identifier is used, the RSA public key, which is composed of a modulus and a public exponent, MUST be encoded using the RSAPublicKey type [RFC4055]. The output of this encoding is carried in the certificate subjectPublicKey.
RSAPublicKey ::= SEQUENCE { modulus INTEGER, -- n publicExponent INTEGER -- e }
For ECDSA, the public key identifier defined in [RFC5480] is
id-ecPublicKey OBJECT IDENTIFIER ::= { iso(1) member-body(2) us(840) ansi-X9-62(10045) keyType(2) 1 }
Additionally, the mandatory EC SubjectPublicKey is defined in Section 2.1.1 and its syntax is in Section 2.2 of [RFC5480]. We also include them here for convenience:
The id-ecPublicKey parameters MUST be present and are defined as
ECParameters ::= CHOICE { namedCurve OBJECT IDENTIFIER -- implicitCurve NULL -- specifiedCurve SpecifiedECDomain }
The ECParameters associated with the ECDSA public key in the signer's certificate SHALL apply to the verification of the signature.
[ EDNOTE: Update here only if there are OID allocations by IANA. ]
This document has no IANA actions.
The SHAKEs are deterministic functions. Like any other deterministic functions, executing each function with the same input multiple times will produce the same output. Therefore, users should not expect unrelated outputs (with the same or different output lengths) from excuting a SHAKE function with the same input multiple times.The shorter one of any 2 outputs produced from a SHAKE with the same input is a prefix of the longer one. It is a similar situation as truncating a 512-bit output of SHA-512 by taking its 256 left-most bits. These 256 left-most bits are a prefix of the 512-bit output.
Implementations must protect the signer's private key. Compromise of the signer's private key permits masquerade.
Implementations must randomly generate one-time values, such as the k value when generating a ECDSA signature. In addition, the generation of public/private key pairs relies on random numbers. The use of inadequate pseudo-random number generators (PRNGs) to generate such cryptographic values can result in little or no security. The generation of quality random numbers is difficult. [RFC4086] offers important guidance in this area, and [SP800-90A] series provide acceptable PRNGs.
Implementers should be aware that cryptographic algorithms may become weaker with time. As new cryptanalysis techniques are developed and computing power increases, the work factor or time required to break a particular cryptographic algorithm may decrease. Therefore, cryptographic algorithm implementations should be modular allowing new algorithms to be readily inserted. That is, implementers should be prepared to regularly update the set of algorithms in their implementations.
We would like to thank Sean Turner and Jim Schaad for his valuable contributions to this document.
This appendix includes the ASN.1 modules for SHAKEs in X.509. This module does not come from any existing RFC.
PKIXAlgsForSHAKE-2018 { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) id-mod(0) id-mod-pkix1-shake-2018(TBD) } DEFINITIONS EXPLICIT TAGS ::= BEGIN -- EXPORTS ALL; IMPORTS -- FROM [RFC5912] PUBLIC-KEY, SIGNATURE-ALGORITHM, DIGEST-ALGORITHM, MAC-ALGORITHM, SMIME-CAPS FROM AlgorithmInformation-2009 { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) id-mod(0) id-mod-algorithmInformation-02(58) } -- FROM [RFC5912] id-RSASSA-PSS, RSAPublicKey, rsaEncryption, id-ecPublicKey, ECPoint, ECDSA-Sig-Value FROM PKIXAlgs-2009 { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) id-mod(0) id-mod-pkix1-algorithms2008-02(56) } -- -- One-Way Hash Functions -- SHAKE128 mda-shake128 DIGEST-ALGORITHM ::= { IDENTIFIER id-shake128 -- with output length 32 bytes. } id-shake128 OBJECT IDENTIFIER ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) hashAlgs(2) 11 } -- SHAKE-256 mda-shake256 DIGEST-ALGORITHM ::= { IDENTIFIER id-shake256 -- with output length 64 bytes. } id-shake256 OBJECT IDENTIFIER ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) hashAlgs(2) 12 } -- -- Public Key (pk-) Algorithms -- PublicKeys PUBLIC-KEY ::= { ..., pk-rsaSSA-PSS-SHAKE128 | pk-rsaSSA-PSS-SHAKE256 | pk-ec, ... } -- From [RFC5912] - Here so it compiles. pk-rsa PUBLIC-KEY ::= { IDENTIFIER rsaEncryption KEY RSAPublicKey PARAMS TYPE NULL ARE absent -- Private key format not in this module -- CERT-KEY-USAGE {digitalSignature, nonRepudiation, keyEncipherment, dataEncipherment, keyCertSign, cRLSign} } -- The hashAlgorithm is mda-shake128 -- The maskGenAlgorithm is mda-shake128 -- Mask Gen Algorithm is SHAKE128 with output length -- (n - 264)/8, where n is the RSA modulus in bits. -- the saltLength is 32 -- the trailerField is 1 pk-rsaSSA-PSS-SHAKE128 PUBLIC-KEY ::= { IDENTIFIER id-RSASSA-PSS-SHAKE128 KEY RSAPublicKey PARAMS TYPE NULL ARE absent -- Private key format not in this module -- CERT-KEY-USAGE { nonRepudiation, digitalSignature, keyCertSign, cRLSign } } -- The hashAlgorithm is mda-shake256 -- The maskGenAlgorithm is mda-shake256 -- Mask Gen Algorithm is SHAKE256 with output length -- (n - 520)/8, where n is the RSA modulus in bits. -- the saltLength is 64 -- the trailerField is 1 pk-rsaSSA-PSS-SHAKE256 PUBLIC-KEY ::= { IDENTIFIER id-RSASSA-PSS-SHAKE256 KEY RSAPublicKey PARAMS TYPE NULL ARE absent -- Private key format not in this module -- CERT-KEY-USAGE { nonRepudiation, digitalSignature, keyCertSign, cRLSign } } pk-ec PUBLIC-KEY ::= { IDENTIFIER id-ecPublicKey KEY ECPoint PARAMS TYPE ECParameters ARE required -- Private key format not in this module -- CERT-KEY-USAGE { digitalSignature, nonRepudiation, keyAgreement, keyCertSign, cRLSign } } ECParameters ::= CHOICE { namedCurve CURVE.&id({NamedCurve}) -- implicitCurve NULL -- implicitCurve MUST NOT be used in PKIX -- specifiedCurve SpecifiedCurve -- specifiedCurve MUST NOT be used in PKIX -- Details for specifiedCurve can be found in [X9.62] -- Any future additions to this CHOICE should be coordinated -- with ANSI X.9. } -- -- Signature Algorithms (sa-) -- SignatureAlgs SIGNATURE-ALGORITHM ::= { ..., -- This expands SignatureAlgorithms from [RFC5912] sa-rsassapssWithSHAKE128 | sa-rsassapssWithSHAKE256 | sa-ecdsaWithSHAKE128 | sa-ecdsaWithSHAKE256 } -- -- SMIME Capabilities (sa-) -- SMimeCaps SMIME-CAPS ::= { ..., -- The expands SMimeCaps from [RFC5912] sa-rsassapssWithSHAKE128.&smimeCaps | sa-rsassapssWithSHAKE256.&smimeCaps | sa-ecdsaWithSHAKE128.&smimeCaps | sa-ecdsaWithSHAKE256.&smimeCaps } -- RSASSA-PSS with SHAKE128 sa-rsassapssWithSHAKE128 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-RSASSA-PSS-SHAKE128 PARAMS TYPE NULL ARE absent -- The hashAlgorithm is mda-shake128 -- The maskGenAlgorithm is mda-shake128 -- Mask Gen Algorithm is SHAKE128 with output length -- (n - 264)/8, where n is the RSA modulus in bits. -- the saltLength is 32 -- the trailerField is 1 HASHES {mda-shake128} -- omitting mda-shake128-params PUBLIC-KEYS { pk-rsa | pk-rsaSSA-PSS-SHAKE128 } SMIME-CAPS { IDENTIFIED BY id-RSASSA-PSS-SHAKE128 } } id-RSASSA-PSS-SHAKE128 OBJECT IDENTIFIER ::= { TBD } -- RSASSA-PSS with SHAKE256 sa-rsassapssWithSHAKE256 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-RSASSA-PSS-SHAKE256 PARAMS TYPE NULL ARE absent -- The hashAlgorithm is mda-shake256 -- The maskGenAlgorithm is mda-shake256 -- Mask Gen Algorithm is SHAKE256 with output length -- (n - 520)/8, where n is the RSA modulus in bits. -- the saltLength is 64 -- the trailerField is 1 HASHES {mda-shake256} -- omitting mda-shake256-params PUBLIC-KEYS { pk-rsa | pk-rsaSSA-PSS-SHAKE256 } SMIME-CAPS { IDENTIFIED BY id-RSASSA-PSS-SHAKE256 } } id-RSASSA-PSS-SHAKE256 OBJECT IDENTIFIER ::= { TBD } -- Determinstic ECDSA with SHAKE128 -- Generating k by using KMAC with SHAKE128 as the hash -- [SP800-185] instead of HMAC with output length 256-bits -- that is equal to or slightly less than the elliptic -- curve group order. S is set to an empty string. sa-ecdsaWithSHAKE128 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-ecdsa-with-shake128 VALUE ECDSA-Sig-Value PARAMS TYPE NULL ARE absent HASHES { mda-shake128 } PUBLIC-KEYS { pk-ec } SMIME-CAPS { IDENTIFIED BY id-ecdsa-with-shake128 } } id-ecdsa-with-shake128 ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) sigAlgs(3) TBD } -- Determinstic ECDSA with SHAKE256 -- Generating k by using KMAC with SHAKE256 as the hash -- [SP800-185] instead of HMAC with output length 512-bits -- truncated to equal to or slightly less than the elliptic -- curve group order. S is set to an empty string. sa-ecdsaWithSHAKE256 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-ecdsa-with-shake256 VALUE ECDSA-Sig-Value PARAMS TYPE NULL ARE absent HASHES { mda-shake256 } PUBLIC-KEYS { pk-ec } SMIME-CAPS { IDENTIFIED BY id-ecdsa-with-shake256 } } id-ecdsa-with-shake256 ::= { joint-iso-itu-t(2) country(16) us(840) organization(1) gov(101) csor(3) nistAlgorithm(4) sigAlgs(3) TBD } END