A Structural Attack on Block-Anti-Circulant UOV at SAC 2019

Hiroki Furue, Koha Kinjo, Yasuhiko Ikematsu, Yacheng Wang, Tsuyoshi Takagi

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

At SAC 2019, Szepieniec and Preneel proposed a new variant of the Unbalanced Oil and Vinegar signature scheme (UOV) called block-anti-circulant UOV (BAC-UOV). In this scheme, the matrices representing the quadratic parts of the public key are designed to be block-anti-circulant matrices, which drastically reduces its public key size compared to UOV that originally has a relatively large public key size. In this paper, we show that this block-anti-circulant property enables us to do a special linear transformation on variables in the public key polynomials. By executing the UOV attack on quadratic terms in partial variables of the resulting polynomial system, we obtain a polynomial system with less quadratic terms, which can be algebraically solved faster than the plain direct attack. Our proposed attack reduces the bit complexity of breaking BAC-UOV by about 20% compared with the previously known attacks. For example, the complexity of our proposed attack on 147-bit BAC-UOV parameter (claimed security level II in NIST PQC project by its authors) can be reduced only to 119 bits.

本文言語英語
ホスト出版物のタイトルPost-Quantum Cryptography - 11th International Conference, PQCrypto 2020, Proceedings
編集者Jintai Ding, Jean-Pierre Tillich
出版社Springer
ページ323-339
ページ数17
ISBN(印刷版)9783030442224
DOI
出版ステータス出版済み - 2020
イベント11th International Conference on Post-Quantum Cryptography, PQCrypto 2020 - Paris, フランス
継続期間: 4 15 20204 17 2020

出版物シリーズ

名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
12100 LNCS
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

会議

会議11th International Conference on Post-Quantum Cryptography, PQCrypto 2020
Countryフランス
CityParis
Period4/15/204/17/20

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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