XMSS: Extended Hash-Based Signatures
draft-irtf-cfrg-xmss-hash-based-signatures-06

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Document Type Active Internet-Draft (cfrg RG)
Last updated 2016-07-06
Replaces draft-huelsing-cfrg-hash-sig-xmss
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Crypto Forum Research Group                                  A. Huelsing
Internet-Draft                                              TU Eindhoven
Intended status: Informational                                  D. Butin
Expires: January 7, 2017                                    TU Darmstadt
                                                               S. Gazdag
                                                              genua GmbH
                                                             A. Mohaisen
                                                            SUNY Buffalo
                                                            July 6, 2016

                  XMSS: Extended Hash-Based Signatures
             draft-irtf-cfrg-xmss-hash-based-signatures-06

Abstract

   This note describes the eXtended Merkle Signature Scheme (XMSS), a
   hash-based digital signature system.  It follows existing
   descriptions in scientific literature.  The note specifies the WOTS+
   one-time signature scheme, a single-tree (XMSS) and a multi-tree
   variant (XMSS^MT) of XMSS.  Both variants use WOTS+ as a main
   building block.  XMSS provides cryptographic digital signatures
   without relying on the conjectured hardness of mathematical problems.
   Instead, it is proven that it only relies on the properties of
   cryptographic hash functions.  XMSS provides strong security
   guarantees and is even secure when the collision resistance of the
   underlying hash function is broken.  It is suitable for compact
   implementations, relatively simple to implement, and naturally
   resists side-channel attacks.  Unlike most other signature systems,
   hash-based signatures withstand attacks using quantum computers.

Status of This Memo

   This Internet-Draft is submitted in full conformance with the
   provisions of BCP 78 and BCP 79.

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   This Internet-Draft will expire on January 7, 2017.

Huelsing, et al.         Expires January 7, 2017                [Page 1]
Internet-Draft    XMSS: Extended Hash-Based Signatures         July 2016

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   document authors.  All rights reserved.

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   described in the Simplified BSD License.

Table of Contents

   1.  Introduction  . . . . . . . . . . . . . . . . . . . . . . . .   3
     1.1.  Conventions Used In This Document . . . . . . . . . . . .   5
   2.  Notation  . . . . . . . . . . . . . . . . . . . . . . . . . .   5
     2.1.  Data Types  . . . . . . . . . . . . . . . . . . . . . . .   5
     2.2.  Operators . . . . . . . . . . . . . . . . . . . . . . . .   5
     2.3.  Functions . . . . . . . . . . . . . . . . . . . . . . . .   6
     2.4.  Integer to Byte Conversion  . . . . . . . . . . . . . . .   6
     2.5.  Hash Function Address Scheme  . . . . . . . . . . . . . .   6
     2.6.  Strings of Base w Numbers . . . . . . . . . . . . . . . .   9
     2.7.  Member Functions  . . . . . . . . . . . . . . . . . . . .  10
   3.  Primitives  . . . . . . . . . . . . . . . . . . . . . . . . .  11
     3.1.  WOTS+ One-Time Signatures . . . . . . . . . . . . . . . .  11
       3.1.1.  WOTS+ Parameters  . . . . . . . . . . . . . . . . . .  11
         3.1.1.1.  WOTS+ Functions . . . . . . . . . . . . . . . . .  12
       3.1.2.  WOTS+ Chaining Function . . . . . . . . . . . . . . .  12
       3.1.3.  WOTS+ Private Key . . . . . . . . . . . . . . . . . .  13
       3.1.4.  WOTS+ Public Key  . . . . . . . . . . . . . . . . . .  14
       3.1.5.  WOTS+ Signature Generation  . . . . . . . . . . . . .  14
       3.1.6.  WOTS+ Signature Verification  . . . . . . . . . . . .  16
       3.1.7.  Pseudorandom Key Generation . . . . . . . . . . . . .  17
   4.  Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . .  17
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