Revisiting the efficient key generation of ZHFE

Yasuhiko Ikematsu, Dung H. Duong, Albrecht Petzoldt, Tsuyoshi Takagi

研究成果: 著書/レポートタイプへの貢献会議での発言

1 引用 (Scopus)

抄録

ZHFE, proposed by Porras et al. at PQCrypto’14, is one of the very few existing multivariate encryption schemes and a very promising candidate for post-quantum cryptosystems. The only one drawback is its slow key generation. At PQCrypto’16, Baena et al. proposed an algorithm to construct the private ZHFE keys, which is much faster than the original algorithm, but still inefficient for practical parameters. Recently, Zhang and Tan proposed another private key generation algorithm, which is very fast but not necessarily able to generate all the private ZHFE keys. In this paper we propose a new efficient algorithm for the private key generation of the ZHFE scheme. Our algorithm reduces the complexity from O(n2ω+1) by Baena et al. to O(nω+3), where n is the number of variables and 2 <ω<3 is a linear algebra constant. We also estimate the number of possible keys generated by all existing private key generation algorithms for ZHFE. Our algorithm generates as many private ZHFE keys as the original and Baena et al.’s ones. This makes our algorithm be the best appropriate for the ZHFE scheme.

元の言語英語
ホスト出版物のタイトルCodes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet
編集者Abderrahmane Nitaj, Said El Hajji, El Mamoun Souidi
出版者Springer Verlag
ページ195-212
ページ数18
ISBN(印刷物)9783319555881
DOI
出版物ステータス出版済み - 1 1 2017
イベント2nd International Conference on Codes, Cryptology and Information Security, C2SI 2017 - Rabat, モロッコ
継続期間: 4 10 20174 12 2017

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)
10194 LNCS
ISSN(印刷物)0302-9743
ISSN(電子版)1611-3349

その他

その他2nd International Conference on Codes, Cryptology and Information Security, C2SI 2017
モロッコ
Rabat
期間4/10/174/12/17

Fingerprint

Cryptography
Linear algebra
Cryptosystem
Encryption
Efficient Algorithms
Estimate

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

これを引用

Ikematsu, Y., Duong, D. H., Petzoldt, A., & Takagi, T. (2017). Revisiting the efficient key generation of ZHFE. : A. Nitaj, S. El Hajji, & E. M. Souidi (版), Codes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet (pp. 195-212). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 10194 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-55589-8_13

Revisiting the efficient key generation of ZHFE. / Ikematsu, Yasuhiko; Duong, Dung H.; Petzoldt, Albrecht; Takagi, Tsuyoshi.

Codes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet. 版 / Abderrahmane Nitaj; Said El Hajji; El Mamoun Souidi. Springer Verlag, 2017. p. 195-212 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻 10194 LNCS).

研究成果: 著書/レポートタイプへの貢献会議での発言

Ikematsu, Y, Duong, DH, Petzoldt, A & Takagi, T 2017, Revisiting the efficient key generation of ZHFE. : A Nitaj, S El Hajji & EM Souidi (版), Codes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 巻. 10194 LNCS, Springer Verlag, pp. 195-212, 2nd International Conference on Codes, Cryptology and Information Security, C2SI 2017, Rabat, モロッコ, 4/10/17. https://doi.org/10.1007/978-3-319-55589-8_13
Ikematsu Y, Duong DH, Petzoldt A, Takagi T. Revisiting the efficient key generation of ZHFE. : Nitaj A, El Hajji S, Souidi EM, 編集者, Codes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet. Springer Verlag. 2017. p. 195-212. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-319-55589-8_13
Ikematsu, Yasuhiko ; Duong, Dung H. ; Petzoldt, Albrecht ; Takagi, Tsuyoshi. / Revisiting the efficient key generation of ZHFE. Codes, Cryptology and Information Security - 2nd International Conference, C2SI 2017, Proceedings In Honor of Claude Carlet. 編集者 / Abderrahmane Nitaj ; Said El Hajji ; El Mamoun Souidi. Springer Verlag, 2017. pp. 195-212 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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