Cisco Systems

pkampana@cisco.com

NIST

100 Bureau Drive, Stop 8930 Gaithersburg MD 20899-8930 United States of America quynh.dang@nist.gov

Security LAMPS WG SHAKE in X.509 SHAKEs in PKIX certificates with SHAKE hashes Digital signatures are used to sign messages, X.509 certificates, and Certificate Revocation Lists (CRLs). This document updates the "Algorithms and Identifiers for the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile" (RFC 3279) and describes the conventions for using the SHAKE function family in Internet X.509 certificates and revocation lists as one-way hash functions with the RSA Probabilistic signature and Elliptic Curve Digital Signature Algorithm (ECDSA) signature algorithms. The conventions for the associated subject public keys are also described.

Status of This Memo This is an Internet Standards Track document. This document is a product of the Internet Engineering Task Force (IETF). It represents the consensus of the IETF community. It has received public review and has been approved for publication by the Internet Engineering Steering Group (IESG). Further information on Internet Standards is available in Section 2 of RFC 7841. Information about the current status of this document, any errata, and how to provide feedback on it may be obtained at .

Copyright Notice Copyright (c) 2019 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents () in effect on the date of publication of this document. Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Code Components extracted from this document must include Simplified BSD License text as described in Section 4.e of the Trust Legal Provisions and are provided without warranty as described in the Simplified BSD License.

Table of Contents

• .  Introduction
• .  Terminology
• .  Identifiers
• .  Use in PKIX
  • .  Signatures
    • .  RSASSA-PSS Signatures
    • .  ECDSA Signatures
  • .  Public Keys
• .  IANA Considerations
• .  Security Considerations
• .  References
  • .  Normative References
  • .  Informative References
• .  ASN.1 Module
• Acknowledgements
• Authors' Addresses

Introduction defines cryptographic algorithm identifiers for the "Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile" . This document updates RFC 3279 and defines identifiers for several cryptographic algorithms that use variable-length output SHAKE functions introduced in which can be used with RFC 5280. In the SHA-3 family, two extendable-output functions (SHAKEs) are defined: SHAKE128 and SHAKE256. 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 defined as SHAKE(M, d) where the output is a d-bits-long digest of message M. The corresponding collision and second-preimage-resistance strengths for SHAKE128 are min(d/2, 128) and min(d, 128) bits, respectively (see Appendix A.1 of ). 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 RSA Probabilistic Signature Scheme (RSASSA-PSS) and ECDSA and as the hash in the mask generation function (MGF) in RSASSA-PSS.

Terminology The key words "MUST", "MUST NOT", "REQUIRED", "SHALL", "SHALL NOT", "SHOULD", "SHOULD NOT", "RECOMMENDED", "NOT RECOMMENDED", "MAY", and "OPTIONAL" in this document are to be interpreted as described in BCP 14 when, and only when, they appear in all capitals, as shown here.

Identifiers This section defines four new object identifiers (OIDs), for RSASSA-PSS and ECDSA with each of SHAKE128 and SHAKE256. The same algorithm identifiers can be used for identifying a public key in RSASSA-PSS. The new identifiers for RSASSA-PSS signatures using SHAKEs are below. id-RSASSA-PSS-SHAKE128 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 30 } id-RSASSA-PSS-SHAKE256 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 31 } The new algorithm identifiers of ECDSA signatures using SHAKEs are below. id-ecdsa-with-shake128 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 32 } id-ecdsa-with-shake256 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 33 } The parameters for the four identifiers above MUST be absent. That is, the identifier SHALL be a SEQUENCE of one component: the OID. Sections and 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 MGFs in RSASSA-PSS, their output length is (8*ceil((n-1)/8) - 264) or (8*ceil((n-1)/8) - 520) bits, respectively, where n is the RSA modulus size in bits.

Use in PKIX

Signatures Signatures are used in a number of different ASN.1 structures. As shown in the ASN.1 representation from below, in an X.509 certificate, a signature is encoded with an algorithm identifier in the signatureAlgorithm attribute and a signatureValue attribute that contains the actual signature. Certificate ::= SEQUENCE { tbsCertificate TBSCertificate, signatureAlgorithm AlgorithmIdentifier, signatureValue BIT STRING } The identifiers defined in 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 . The parameters of these signature algorithms are absent, as explained in . Conforming Certification Authority (CA) implementations MUST specify the algorithms explicitly by using the OIDs specified in when encoding RSASSA-PSS or ECDSA with SHAKE signatures in certificates and CRLs. Conforming client implementations that process certificates and CRLs using RSASSA-PSS or ECDSA with SHAKE MUST recognize the corresponding OIDs. Encoding rules for RSASSA-PSS and ECDSA signature values are specified in and , respectively. When using RSASSA-PSS or ECDSA with SHAKEs, the RSA modulus and ECDSA curve order SHOULD be chosen in line with the SHAKE output length. Refer to for more details.

RSASSA-PSS Signatures The RSASSA-PSS algorithm is defined in . When id-RSASSA-PSS-SHAKE128 or id-RSASSA-PSS-SHAKE256 (specified in ) 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. defines RSASSA-PSS-params that is used to define the algorithms and inputs to the algorithm. This specification does not use parameters because the hash, mask generation algorithm, trailer, and salt are embedded in the OID definition. The hash algorithm to hash a message being signed and the hash algorithm used as the MGF in RSASSA-PSS MUST be the same: both SHAKE128 or both SHAKE256. The output length of the hash algorithm that hashes the message SHALL be 32 bytes (for SHAKE128) or 64 bytes (for SHAKE256). The MGF 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, instead of the MGF1 algorithm that uses the hash function in multiple iterations, as specified in . In other words, the MGF is defined as the SHAKE128 or SHAKE256 output of the mgfSeed for id-RSASSA-PSS-SHAKE128 and id-RSASSA-PSS-SHAKE256, respectively. The mgfSeed is the seed from which the mask is generated, an octet string . As explained in Step 9 of , the output length of the MGF is emLen - hLen - 1 bytes. emLen is the maximum message length ceil((n-1)/8), where n is the RSA modulus in bits. hLen is 32 and 64 bytes for id-RSASSA-PSS-SHAKE128 and id-RSASSA-PSS-SHAKE256, respectively. Thus, when SHAKE is used as the MGF, the SHAKE output length maskLen is (8*emLen - 264) or (8*emLen - 520) bits, respectively. For example, when RSA modulus n is 2048 bits, the output length of SHAKE128 or SHAKE256 as the MGF will be 1784 or 1528 bits when id-RSASSA-PSS-SHAKE128 or id-RSASSA-PSS-SHAKE256 is used, respectively. The RSASSA-PSS saltLength MUST be 32 bytes for id-RSASSA-PSS-SHAKE128 or 64 bytes for id-RSASSA-PSS-SHAKE256. Finally, the trailerField MUST be 1, which represents the trailer field with hexadecimal value 0xBC .

ECDSA Signatures The Elliptic Curve Digital Signature Algorithm (ECDSA) is defined in . When the id-ecdsa-with-shake128 or id-ecdsa-with-shake256 (specified in ) 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 length of the hash function must be explicitly determined. The output length, 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 SHOULD generate such signatures with a deterministically generated, nonrandom k in accordance with all the requirements specified in . They MAY also generate such signatures in accordance with all other recommendations in or if they have a stated policy that requires conformance to those standards. Those standards have not specified SHAKE128 and SHAKE256 as hash algorithm options. However, SHAKE128 and SHAKE256 with output length being 32 and 64 octets, respectively, can be used instead of 256- and 512-bit output hash algorithms such as SHA256 and SHA512.

Public Keys Certificates conforming to can convey a public key for any public key algorithm. The certificate indicates the public key algorithm through an algorithm identifier. This algorithm identifier is an OID with optionally associated parameters. The conventions and encoding for RSASSA-PSS and ECDSA public key algorithm identifiers are as specified in Sections and of , and . Traditionally, the rsaEncryption object identifier is used to identify RSA public keys. The rsaEncryption object identifier continues to identify the subject public key when the RSA private key owner does not wish to limit the use of the public key exclusively to RSASSA-PSS with SHAKEs. When the RSA private key owner wishes to limit the use of the public key exclusively to RSASSA-PSS with SHAKEs, the AlgorithmIdentifiers for RSASSA-PSS defined in SHOULD be used as the algorithm field in the SubjectPublicKeyInfo sequence . Conforming client implementations that process RSASSA-PSS with SHAKE public keys when processing certificates and CRLs MUST recognize the corresponding OIDs. Conforming CA implementations MUST specify the X.509 public key algorithm explicitly by using the OIDs specified in when encoding ECDSA with SHAKE public keys in certificates and CRLs. Conforming client implementations that process ECDSA with SHAKE public keys when processing certificates and CRLs MUST recognize the corresponding OIDs. The identifier parameters, as explained in , MUST be absent.

IANA Considerations One object identifier for the ASN.1 module in has been assigned in the "SMI Security for PKIX Module Identifier" (1.3.6.1.5.5.7.0) registry:

Decimal	Description	References
94	id-mod-pkix1-shakes-2019	RFC 8692

IANA has updated the "SMI Security for PKIX Algorithms" (1.3.6.1.5.5.7.6) registry with four additional entries:

Decimal	Description	References
30	id-RSASSA-PSS-SHAKE128	RFC 8692
31	id-RSASSA-PSS-SHAKE256	RFC 8692
32	id-ecdsa-with-shake128	RFC 8692
33	id-ecdsa-with-shake256	RFC 8692

IANA has updated the "Hash Function Textual Names" registry with two additional entries for SHAKE128 and SHAKE256:

Hash Function Name	OID	Reference
shake128	2.16.840.1.101.3.4.2.11	RFC 8692
shake256	2.16.840.1.101.3.4.2.12	RFC 8692

Security Considerations This document updates . The Security Considerations section of that document applies to this specification as well. NIST has defined appropriate use of the hash functions in terms of the algorithm strengths and expected time frames for secure use in Special Publications (SPs) and . These documents can be used as guides to choose appropriate key sizes for various security scenarios. SHAKE128 with output length of 256 bits offers 128 bits of collision and preimage resistance. Thus, SHAKE128 OIDs in this specification are RECOMMENDED with 2048- (112-bit security) or 3072-bit (128-bit security) RSA modulus or curves with group order of 256 bits (128-bit security). SHAKE256 with a 512-bit output length offers 256 bits of collision and preimage resistance. Thus, the SHAKE256 OIDs in this specification are RECOMMENDED with 4096-bit RSA modulus or higher or curves with a group order of at least 512 bits, such as the NIST Curve P-521 (256-bit security). Note that we recommended a 4096-bit RSA because we would need a 15360-bit modulus for 256 bits of security, which is impractical for today's technology.

References Normative References In many standards track documents several words are used to signify the requirements in the specification. These words are often capitalized. This document defines these words as they should be interpreted in IETF documents. This document specifies an Internet Best Current Practices for the Internet Community, and requests discussion and suggestions for improvements. This document specifies algorithm identifiers and ASN.1 encoding formats for digital signatures and subject public keys used in the Internet X.509 Public Key Infrastructure (PKI). Digital signatures are used to sign certificates and certificate revocation list (CRLs). Certificates include the public key of the named subject. [STANDARDS-TRACK] This document supplements RFC 3279. It describes the conventions for using the RSA Probabilistic Signature Scheme (RSASSA-PSS) signature algorithm, the RSA Encryption Scheme - Optimal Asymmetric Encryption Padding (RSAES-OAEP) key transport algorithm and additional one-way hash functions with the Public-Key Cryptography Standards (PKCS) #1 version 1.5 signature algorithm in the Internet X.509 Public Key Infrastructure (PKI). Encoding formats, algorithm identifiers, and parameter formats are specified. [STANDARDS-TRACK] This memo profiles the X.509 v3 certificate and X.509 v2 certificate revocation list (CRL) for use in the Internet. An overview of this approach and model is provided as an introduction. The X.509 v3 certificate format is described in detail, with additional information regarding the format and semantics of Internet name forms. Standard certificate extensions are described and two Internet-specific extensions are defined. A set of required certificate extensions is specified. The X.509 v2 CRL format is described in detail along with standard and Internet-specific extensions. An algorithm for X.509 certification path validation is described. An ASN.1 module and examples are provided in the appendices. [STANDARDS-TRACK] This document specifies the syntax and semantics for the Subject Public Key Information field in certificates that support Elliptic Curve Cryptography. This document updates Sections 2.3.5 and 5, and the ASN.1 module of "Algorithms and Identifiers for the Internet X.509 Public Key Infrastructure Certificate and Certificate Revocation List (CRL) Profile", RFC 3279. [STANDARDS-TRACK] This document provides recommendations for the implementation of public-key cryptography based on the RSA algorithm, covering cryptographic primitives, encryption schemes, signature schemes with appendix, and ASN.1 syntax for representing keys and for identifying the schemes. This document represents a republication of PKCS #1 v2.2 from RSA Laboratories' Public-Key Cryptography Standards (PKCS) series. By publishing this RFC, change control is transferred to the IETF. This document also obsoletes RFC 3447. RFC 2119 specifies common key words that may be used in protocol specifications. This document aims to reduce the ambiguity by clarifying that only UPPERCASE usage of the key words have the defined special meanings. National Institute of Standards and Technology Informative References IANA The Public Key Infrastructure using X.509 (PKIX) certificate format, 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 changes to any of the formats; this is simply a change to the syntax. This document is not an Internet Standards Track specification; it is published for informational purposes. This document defines a deterministic digital signature generation procedure. Such signatures are compatible with standard Digital Signature Algorithm (DSA) and Elliptic Curve Digital Signature Algorithm (ECDSA) digital signatures and can be processed with unmodified verifiers, which need not be aware of the procedure described therein. Deterministic signatures retain the cryptographic security features associated with digital signatures but can be more easily implemented in various environments, since they do not need access to a source of high-quality randomness. Standards for Efficient Cryptography Group IANA National Institute of Standards and Technology (NIST) National Institute of Standards and Technology (NIST) ANSI

ASN.1 Module This appendix includes the ASN.1 module for SHAKEs in X.509. This module does not come from any previously existing RFC. This module references . PKIXAlgsForSHAKE-2019 { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) id-mod(0) id-mod-pkix1-shakes-2019(94) } DEFINITIONS EXPLICIT TAGS ::= BEGIN -- EXPORTS ALL; IMPORTS -- FROM RFC 5912 PUBLIC-KEY, SIGNATURE-ALGORITHM, DIGEST-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 RFC 5912 RSAPublicKey, rsaEncryption, pk-rsa, pk-ec, CURVE, id-ecPublicKey, ECPoint, ECParameters, 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) } ; -- -- Message Digest Algorithms (mda-) -- DigestAlgorithms DIGEST-ALGORITHM ::= { -- This expands DigestAlgorithms from RFC 5912 mda-shake128 | mda-shake256, ... } -- -- 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 } -- SHAKE256 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 ::= { -- This expands PublicKeys from RFC 5912 pk-rsaSSA-PSS-SHAKE128 | pk-rsaSSA-PSS-SHAKE256, ... } -- The hashAlgorithm is mda-shake128 -- The maskGenAlgorithm is id-shake128 -- Mask Gen Algorithm is SHAKE128 with output length -- (8*ceil((n-1)/8) - 264) bits, 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 ARE absent -- Private key format not in this module -- CERT-KEY-USAGE { nonRepudiation, digitalSignature, keyCertSign, cRLSign } } -- The hashAlgorithm is mda-shake256 -- The maskGenAlgorithm is id-shake256 -- Mask Gen Algorithm is SHAKE256 with output length -- (8*ceil((n-1)/8) - 520)-bits, 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 ARE absent -- Private key format not in this module -- CERT-KEY-USAGE { nonRepudiation, digitalSignature, keyCertSign, cRLSign } } -- -- Signature Algorithms (sa-) -- SignatureAlgs SIGNATURE-ALGORITHM ::= { -- This expands SignatureAlgorithms from RFC 5912 sa-rsassapssWithSHAKE128 | sa-rsassapssWithSHAKE256 | sa-ecdsaWithSHAKE128 | sa-ecdsaWithSHAKE256, ... } -- -- SMIME Capabilities (sa-) -- SMimeCaps SMIME-CAPS ::= { -- The expands SMimeCaps from RFC 5912 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 ARE absent -- The hashAlgorithm is mda-shake128 -- The maskGenAlgorithm is id-shake128 -- Mask Gen Algorithm is SHAKE128 with output length -- (8*ceil((n-1)/8) - 264) bits, where n is the RSA -- modulus in bits. -- The saltLength is 32. The trailerField is 1 HASHES { mda-shake128 } PUBLIC-KEYS { pk-rsa | pk-rsaSSA-PSS-SHAKE128 } SMIME-CAPS { IDENTIFIED BY id-RSASSA-PSS-SHAKE128 } } id-RSASSA-PSS-SHAKE128 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 30 } -- RSASSA-PSS with SHAKE256 sa-rsassapssWithSHAKE256 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-RSASSA-PSS-SHAKE256 PARAMS ARE absent -- The hashAlgorithm is mda-shake256 -- The maskGenAlgorithm is id-shake256 -- Mask Gen Algorithm is SHAKE256 with output length -- (8*ceil((n-1)/8) - 520)-bits, where n is the -- RSA modulus in bits. -- The saltLength is 64. The trailerField is 1. HASHES { mda-shake256 } PUBLIC-KEYS { pk-rsa | pk-rsaSSA-PSS-SHAKE256 } SMIME-CAPS { IDENTIFIED BY id-RSASSA-PSS-SHAKE256 } } id-RSASSA-PSS-SHAKE256 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 31 } -- ECDSA with SHAKE128 sa-ecdsaWithSHAKE128 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-ecdsa-with-shake128 VALUE ECDSA-Sig-Value PARAMS ARE absent HASHES { mda-shake128 } PUBLIC-KEYS { pk-ec } SMIME-CAPS { IDENTIFIED BY id-ecdsa-with-shake128 } } id-ecdsa-with-shake128 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 32 } -- ECDSA with SHAKE256 sa-ecdsaWithSHAKE256 SIGNATURE-ALGORITHM ::= { IDENTIFIER id-ecdsa-with-shake256 VALUE ECDSA-Sig-Value PARAMS ARE absent HASHES { mda-shake256 } PUBLIC-KEYS { pk-ec } SMIME-CAPS { IDENTIFIED BY id-ecdsa-with-shake256 } } id-ecdsa-with-shake256 OBJECT IDENTIFIER ::= { iso(1) identified-organization(3) dod(6) internet(1) security(5) mechanisms(5) pkix(7) algorithms(6) 33 } END

Acknowledgements We would like to thank Sean Turner, Jim Schaad, and Eric Rescorla for their valuable contributions to this document. The authors would like to thank Russ Housley for his guidance and very valuable contributions with the ASN.1 module.

Authors' Addresses Cisco Systems

pkampana@cisco.com

NIST

100 Bureau Drive, Stop 8930 Gaithersburg MD 20899-8930 United States of America quynh.dang@nist.gov