A New Variant of Unbalanced Oil and Vinegar Using Quotient Ring: QR-UOV

Hiroki Furue, Yasuhiko Ikematsu, Yutaro Kiyomura, Tsuyoshi Takagi

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The unbalanced oil and vinegar signature scheme (UOV) is a multivariate signature scheme that has essentially not been broken for over 20 years. However, it requires the use of a large public key; thus, various methods have been proposed to reduce its size. In this paper, we propose a new variant of UOV with a public key represented by block matrices whose components correspond to an element of a quotient ring. We discuss how it affects the security of our proposed scheme whether or not the quotient ring is a field. Furthermore, we discuss their security against currently known and newly possible attacks and propose parameters for our scheme. We demonstrate that our proposed scheme can achieve a small public key size without significantly increasing the signature size compared with other UOV variants. For example, the public key size of our proposed scheme is 85.8 KB for NIST’s Post-Quantum Cryptography Project (security level 3), whereas that of compressed Rainbow is 252.3 KB, where Rainbow is a variant of UOV and is one of the third-round finalists of the NIST PQC project.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 2021 - 27th International Conference on the Theory and Application of Cryptology and Information Security, 2021, Proceedings, Part 4
EditorsMehdi Tibouchi, Huaxiong Wang
PublisherSpringer Science and Business Media Deutschland GmbH
Pages187-217
Number of pages31
ISBN (Print)9783030920678
DOIs
Publication statusPublished - 2021
Event27th International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2021 - Virtual, Online
Duration: Dec 6 2021Dec 10 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume13093 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference27th International Conference on Theory and Application of Cryptology and Information Security, ASIACRYPT 2021
CityVirtual, Online
Period12/6/2112/10/21

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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