Design of hyperelliptic cryptosystems in small characteristic and a software implementation over F2n

Yasuyuki Sakai, Kouichi Sakurai

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

20 被引用数 (Scopus)

抄録

We investigate the discrete logarithm problem over jacobians of hyperelliptic curves suitable for public-key cryptosystems. We focus on the case when the definition field has small characteristic 2, 3, 5 and 7, then we present hyperelliptic cryptosystems that resist against all known attacks. We further implement our designed hyperelliptic cryptosystems over finite fields F2n in software on Alpha and Pentium-II computers. Our results indicate that if we choose curves carefully, hyperelliptic cryp-tosystems do have practical performance.

本文言語英語
ホスト出版物のタイトルAdvances in Cryptology – ASIACRYPT 1998 - International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
編集者Kazuo Ohta, Dingyi Pei
出版社Springer Verlag
ページ80-94
ページ数15
ISBN(印刷版)3540651098, 9783540651093
DOI
出版ステータス出版済み - 1998
イベント4th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 1998 - Beijing, 中国
継続期間: 10 18 199810 22 1998

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)
1514
ISSN(印刷版)0302-9743
ISSN(電子版)1611-3349

その他

その他4th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 1998
Country中国
CityBeijing
Period10/18/9810/22/98

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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