Revisiting the efficient key generation of ZHFE

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

研究成果: 書籍/レポート タイプへの寄稿会議への寄与

1 被引用数 (Scopus)


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.

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
出版社Springer Verlag
出版ステータス出版済み - 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月 10 20174月 12 2017


名前Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
10194 LNCS


その他2nd International Conference on Codes, Cryptology and Information Security, C2SI 2017
City Rabat

!!!All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • コンピュータ サイエンス(全般)


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