XMSS: Extended Hash-Based Signatures
draft-irtf-cfrg-xmss-hash-based-signatures-05
Crypto Forum Research Group A. Huelsing
Internet-Draft TU Eindhoven
Intended status: Informational D. Butin
Expires: December 25, 2016 TU Darmstadt
S. Gazdag
genua GmbH
A. Mohaisen
SUNY Buffalo
June 23, 2016
XMSS: Extended Hash-Based Signatures
draft-irtf-cfrg-xmss-hash-based-signatures-05
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
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This Internet-Draft will expire on December 25, 2016.
Huelsing, et al. Expires December 25, 2016 [Page 1]
Internet-Draft XMSS: Extended Hash-Based Signatures June 2016
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Table of Contents
1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . 3
1.1. Conventions Used In This Document . . . . . . . . . . . . 4
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 . . . . . . . . . . . . . . . . 10
2.7. Member Functions . . . . . . . . . . . . . . . . . . . . 11
3. Primitives . . . . . . . . . . . . . . . . . . . . . . . . . 12
3.1. WOTS+ One-Time Signatures . . . . . . . . . . . . . . . . 12
3.1.1. WOTS+ Parameters . . . . . . . . . . . . . . . . . . 12
3.1.1.1. WOTS+ Functions . . . . . . . . . . . . . . . . . 13
3.1.2. WOTS+ Chaining Function . . . . . . . . . . . . . . . 13
3.1.3. WOTS+ Private Key . . . . . . . . . . . . . . . . . . 14
3.1.4. WOTS+ Public Key . . . . . . . . . . . . . . . . . . 14
3.1.5. WOTS+ Signature Generation . . . . . . . . . . . . . 15
3.1.6. WOTS+ Signature Verification . . . . . . . . . . . . 17
3.1.7. Pseudorandom Key Generation . . . . . . . . . . . . . 18
4. Schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
4.1. XMSS: eXtended Merkle Signature Scheme . . . . . . . . . 18
4.1.1. XMSS Parameters . . . . . . . . . . . . . . . . . . . 19
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