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

Yasuyuki Sakai, Kouichi Sakurai

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

20 Citations (Scopus)

Abstract

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.

Original languageEnglish
Title of host publicationAdvances in Cryptology – ASIACRYPT 1998 - International Conference on the Theory and Application of Cryptology and Information Security, Proceedings
EditorsKazuo Ohta, Dingyi Pei
PublisherSpringer Verlag
Pages80-94
Number of pages15
ISBN (Print)3540651098, 9783540651093
DOIs
Publication statusPublished - Jan 1 1998
Event4th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 1998 - Beijing, China
Duration: Oct 18 1998Oct 22 1998

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1514
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other4th International Conference on the Theory and Application of Cryptology and Information Security, ASIACRYPT 1998
CountryChina
CityBeijing
Period10/18/9810/22/98

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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    Sakai, Y., & Sakurai, K. (1998). Design of hyperelliptic cryptosystems in small characteristic and a software implementation over F2n. In K. Ohta, & D. Pei (Eds.), Advances in Cryptology – ASIACRYPT 1998 - International Conference on the Theory and Application of Cryptology and Information Security, Proceedings (pp. 80-94). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1514). Springer Verlag. https://doi.org/10.1007/3-540-49649-1_8