Hash-Based Signatures
draft-mcgrew-hash-sigs-13

Document Type Active Internet-Draft (cfrg RG)
Last updated 2018-09-06
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Crypto Forum Research Group                                    D. McGrew
Internet-Draft                                                 M. Curcio
Intended status: Informational                                S. Fluhrer
Expires: March 10, 2019                                    Cisco Systems
                                                       September 6, 2018

                         Hash-Based Signatures
                       draft-mcgrew-hash-sigs-13

Abstract

   This note describes a digital signature system based on cryptographic
   hash functions, following the seminal work in this area of Lamport,
   Diffie, Winternitz, and Merkle, as adapted by Leighton and Micali in
   1995.  It specifies a one-time signature scheme and a general
   signature scheme.  These systems provide asymmetric authentication
   without using large integer mathematics and can achieve a high
   security level.  They are suitable for compact implementations, are
   relatively simple to implement, and naturally resist side-channel
   attacks.  Unlike most other signature systems, hash-based signatures
   would still be secure even if it proves feasible for an attacker to
   build a quantum computer.

   This document is a product of the Crypto Forum Research Group (CFRG)
   in the IRTF.

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
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   This Internet-Draft will expire on March 10, 2019.

McGrew, et al.           Expires March 10, 2019                 [Page 1]
Internet-Draft            Hash-Based Signatures           September 2018

Copyright Notice

   Copyright (c) 2018 IETF Trust and the persons identified as the
   document authors.  All rights reserved.

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   described in the Simplified BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  CFRG Note on Post-Quantum Cryptography  . . . . . . . . .   5
     1.2.  Intellectual Property . . . . . . . . . . . . . . . . . .   6
       1.2.1.  Disclaimer  . . . . . . . . . . . . . . . . . . . . .   6
     1.3.  Conventions Used In This Document . . . . . . . . . . . .   6
   2.  Interface . . . . . . . . . . . . . . . . . . . . . . . . . .   6
   3.  Notation  . . . . . . . . . . . . . . . . . . . . . . . . . .   7
     3.1.  Data Types  . . . . . . . . . . . . . . . . . . . . . . .   7
       3.1.1.  Operators . . . . . . . . . . . . . . . . . . . . . .   7
       3.1.2.  Functions . . . . . . . . . . . . . . . . . . . . . .   8
       3.1.3.  Strings of w-bit elements . . . . . . . . . . . . . .   8
     3.2.  Typecodes . . . . . . . . . . . . . . . . . . . . . . . .   9
     3.3.  Notation and Formats  . . . . . . . . . . . . . . . . . .   9
   4.  LM-OTS One-Time Signatures  . . . . . . . . . . . . . . . . .  12
     4.1.  Parameters  . . . . . . . . . . . . . . . . . . . . . . .  12
     4.2.  Private Key . . . . . . . . . . . . . . . . . . . . . . .  14
     4.3.  Public Key  . . . . . . . . . . . . . . . . . . . . . . .  15
     4.4.  Checksum  . . . . . . . . . . . . . . . . . . . . . . . .  15
     4.5.  Signature Generation  . . . . . . . . . . . . . . . . . .  16
     4.6.  Signature Verification  . . . . . . . . . . . . . . . . .  17
   5.  Leighton-Micali Signatures  . . . . . . . . . . . . . . . . .  19
     5.1.  Parameters  . . . . . . . . . . . . . . . . . . . . . . .  20
     5.2.  LMS Private Key . . . . . . . . . . . . . . . . . . . . .  21
     5.3.  LMS Public Key  . . . . . . . . . . . . . . . . . . . . .  21
     5.4.  LMS Signature . . . . . . . . . . . . . . . . . . . . . .  22
       5.4.1.  LMS Signature Generation  . . . . . . . . . . . . . .  24
       5.4.2.  LMS Signature Verification  . . . . . . . . . . . . .  24
   6.  Hierarchical signatures . . . . . . . . . . . . . . . . . . .  26
     6.1.  Key Generation  . . . . . . . . . . . . . . . . . . . . .  29
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