Alternative Elliptic Curve Representations
draft-ietf-lwig-curve-representations-20
Document | Type | Active Internet-Draft (lwig WG) | |
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Author | Rene Struik | ||
Last updated | 2021-02-17 | ||
Replaces | draft-struik-lwig-curve-representations | ||
Stream | Internet Engineering Task Force (IETF) | ||
Intended RFC status | Proposed Standard | ||
Formats | plain text pdf htmlized (tools) htmlized bibtex | ||
Reviews | |||
Stream | WG state | Submitted to IESG for Publication | |
Document shepherd | Mohit Sethi | ||
Shepherd write-up | Show (last changed 2021-02-03) | ||
IESG | IESG state | IESG Evaluation | |
Action Holders |
(None)
|
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Consensus Boilerplate | Yes | ||
Telechat date |
Needs 8 more YES or NO OBJECTION positions to pass. |
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Responsible AD | Erik Kline | ||
Send notices to | Mohit Sethi <mohit.m.sethi@ericsson.com> | ||
IANA | IANA review state | Version Changed - Review Needed | |
IANA expert review state | Issues identified | ||
IANA expert review comments | jose related expert reviews - ok cose related expert reviews - pending |
lwig R. Struik Internet-Draft Struik Security Consultancy Intended status: Standards Track February 17, 2021 Expires: August 21, 2021 Alternative Elliptic Curve Representations draft-ietf-lwig-curve-representations-20 Abstract This document specifies how to represent Montgomery curves and (twisted) Edwards curves as curves in short-Weierstrass form and illustrates how this can be used to carry out elliptic curve computations using existing implementations of, e.g., ECDSA and ECDH using NIST prime curves. We also provide extensive background material that may be useful for implementers of elliptic curve cryptography. Requirements Language 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 [RFC2119] [RFC8174] when, and only when, they appear in all capitals, as shown here. Status of This Memo This Internet-Draft is submitted in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF). Note that other groups may also distribute working documents as Internet-Drafts. The list of current Internet- Drafts is at https://datatracker.ietf.org/drafts/current/. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." This Internet-Draft will expire on August 21, 2021. Struik Expires August 21, 2021 [Page 1] Internet-Draft lwig-curve-representations February 2021 Copyright Notice Copyright (c) 2021 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 (https://trustee.ietf.org/license-info) 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 1. Fostering Code Reuse with New Elliptic Curves . . . . . . . . 5 2. Specification of Wei25519 . . . . . . . . . . . . . . . . . . 6 3. Use of Representation Switches . . . . . . . . . . . . . . . 6 4. Examples . . . . . . . . . . . . . . . . . . . . . . . . . . 7 4.1. Implementation of X25519, Specification of ECDH25519 . . 7 4.2. Implementation of Ed25519 . . . . . . . . . . . . . . . . 9 4.3. Specification of ECDSA25519 . . . . . . . . . . . . . . . 9 4.4. Other Uses (Wei448, ECDH448, ECDSA448, and Others) . . . 10 5. Caveats . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.1. Wire Format . . . . . . . . . . . . . . . . . . . . . . . 11 5.2. Representation Conventions . . . . . . . . . . . . . . . 11 5.3. Domain Parameters . . . . . . . . . . . . . . . . . . . . 11 6. Implementation Considerations . . . . . . . . . . . . . . . . 12 7. Implementation Status . . . . . . . . . . . . . . . . . . . . 13 8. Security Considerations . . . . . . . . . . . . . . . . . . . 14 9. Privacy Considerations . . . . . . . . . . . . . . . . . . . 15 10. Using Wei25519 and Wei448 with COSE and JOSE . . . . . . . . 16 10.1. Using Wei25519 and Wei448 Keys with COSE and JOSE . . . 16 10.1.1. Encoding of Short-Weierstrass Curves with COSE . . . 16 10.1.2. Encoding of Short-Weierstrass Curves with JOSE . . . 17 10.2. Using ECDSA25519 and ECDSA448 with COSE and JOSE . . . . 18 10.2.1. Encoding of ECDSA Instantiations with COSE . . . . . 19 10.2.2. Encoding of ECDSA Instantiations with JOSE . . . . . 20 10.3. Using ECDH25519 and ECDH448 with COSE and JOSE . . . . . 21 10.3.1. Encoding of co-factor ECDH with COSE . . . . . . . . 22 10.3.2. Encoding of co-factor ECDH with JOSE . . . . . . . . 22 11. Using Wei25519 and Wei448 with PKIX and CMS . . . . . . . . . 22 11.1. Encoding of Short-Weierstrass Curves with PKIX . . . . . 22 11.2. Encoding of ECDSA Instantiations with PKIX . . . . . . . 23 11.3. Encoding of co-factor ECDH and Other Algorithms with PKIX . . . . . . . . . . . . . . . . . . . . . . . . . . 23 Struik Expires August 21, 2021 [Page 2]Show full document text