Hash-Based Signatures
draft-mcgrew-hash-sigs-08

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Last updated 2017-10-30 (latest revision 2017-10-06)
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Crypto Forum Research Group                                    D. McGrew
Internet-Draft                                                 M. Curcio
Intended status: Informational                                S. Fluhrer
Expires: April 9, 2018                                     Cisco Systems
                                                         October 6, 2017

                         Hash-Based Signatures
                       draft-mcgrew-hash-sigs-08

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.

Status of This Memo

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   Copyright (c) 2017 IETF Trust and the persons identified as the
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   This document is subject to BCP 78 and the IETF Trust's Legal
   Provisions Relating to IETF Documents

McGrew, et al.            Expires April 9, 2018                 [Page 1]
Internet-Draft            Hash-Based Signatures             October 2017

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Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Conventions Used In This Document . . . . . . . . . . . .   4
   2.  Interface . . . . . . . . . . . . . . . . . . . . . . . . . .   4
   3.  Notation  . . . . . . . . . . . . . . . . . . . . . . . . . .   5
     3.1.  Data Types  . . . . . . . . . . . . . . . . . . . . . . .   5
       3.1.1.  Operators . . . . . . . . . . . . . . . . . . . . . .   5
       3.1.2.  Functions . . . . . . . . . . . . . . . . . . . . . .   6
       3.1.3.  Strings of w-bit elements . . . . . . . . . . . . . .   6
     3.2.  Security string . . . . . . . . . . . . . . . . . . . . .   7
     3.3.  Typecodes . . . . . . . . . . . . . . . . . . . . . . . .   9
   4.  LM-OTS One-Time Signatures  . . . . . . . . . . . . . . . . .   9
     4.1.  Parameters  . . . . . . . . . . . . . . . . . . . . . . .   9
     4.2.  Parameter Sets  . . . . . . . . . . . . . . . . . . . . .  10
     4.3.  Private Key . . . . . . . . . . . . . . . . . . . . . . .  11
     4.4.  Public Key  . . . . . . . . . . . . . . . . . . . . . . .  11
     4.5.  Checksum  . . . . . . . . . . . . . . . . . . . . . . . .  12
     4.6.  Signature Generation  . . . . . . . . . . . . . . . . . .  13
     4.7.  Signature Verification  . . . . . . . . . . . . . . . . .  14
   5.  Leighton Micali Signatures  . . . . . . . . . . . . . . . . .  15
     5.1.  Parameters  . . . . . . . . . . . . . . . . . . . . . . .  16
     5.2.  LMS Private Key . . . . . . . . . . . . . . . . . . . . .  16
     5.3.  LMS Public Key  . . . . . . . . . . . . . . . . . . . . .  17
     5.4.  LMS Signature . . . . . . . . . . . . . . . . . . . . . .  18
       5.4.1.  LMS Signature Generation  . . . . . . . . . . . . . .  18
     5.5.  LMS Signature Verification  . . . . . . . . . . . . . . .  19
   6.  Hierarchical signatures . . . . . . . . . . . . . . . . . . .  21
     6.1.  Key Generation  . . . . . . . . . . . . . . . . . . . . .  21
     6.2.  Signature Generation  . . . . . . . . . . . . . . . . . .  22
     6.3.  Signature Verification  . . . . . . . . . . . . . . . . .  23
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