Presentation 1996/7/22
Efficient construction algorithms of secure hyperelliptic discrete logarithm problems
Nori Matsuda, Jinhui Chao, Shigeo Tsujii,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) Discrete logarithm problems over elliptic curves have been generalized to over hyperelliptic curves. However, no efficient algorithm for construction of secure hyperelliptic curves is known until now. In this paper, efficient algorithms are presented to construct secure discrete logarithm problems over hyperelliptic curves whose Jacobian varieties are either simple or isogenous to a product of simple abelian varieties.
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Keyword(in English) Discrete log / problems / hyperelliptic curves / Abelian varieties / complex multiplication
Paper # ISEC96-18
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Conference Information
Committee ISEC
Conference Date 1996/7/22(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Efficient construction algorithms of secure hyperelliptic discrete logarithm problems
Sub Title (in English)
Keyword(1) Discrete log
Keyword(2) problems
Keyword(3) hyperelliptic curves
Keyword(4) Abelian varieties
Keyword(5) complex multiplication
1st Author's Name Nori Matsuda
1st Author's Affiliation Dept. of Electrical and Electronic Eng., Chuo University()
2nd Author's Name Jinhui Chao
2nd Author's Affiliation Dept. of Electrical and Electronic Eng., Chuo University
3rd Author's Name Shigeo Tsujii
3rd Author's Affiliation Dept. of Information Systems Eng., Chuo University
Date 1996/7/22
Paper # ISEC96-18
Volume (vol) vol.96
Number (no) 167
Page pp.pp.-
#Pages 10
Date of Issue