Presentation 1994/3/18
On Secure Elliptic Curves against the "Reduction Attack"and their Design Strategy
Jinhui Chao, Kazuo Tanada, Shigeo Tsujii,
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Abstract(in English) In this paper,we consider about the extension degree of ground fields which is needed to reduce discrete logarithm problems over elliptic curves to discrete logarithm problems over finite fields. Then we show a method to design elliptic curves over primary fields which can control the extension degree for the reduction.We also discuss designs of elliptic curves over extension fields with complex multiplication fields methods.
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Keyword(in English) Cryptology / Discrete Logarithm Problems / Elliptic Curves / Reduction attack
Paper # ISEC93-100
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Committee ISEC
Conference Date 1994/3/18(1days)
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Registration To Information Security (ISEC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On Secure Elliptic Curves against the "Reduction Attack"and their Design Strategy
Sub Title (in English)
Keyword(1) Cryptology
Keyword(2) Discrete Logarithm Problems
Keyword(3) Elliptic Curves
Keyword(4) Reduction attack
1st Author's Name Jinhui Chao
1st Author's Affiliation Department of Electrical and Electronic Engineering,Faculty of Science and Engineering,Chuo University()
2nd Author's Name Kazuo Tanada
2nd Author's Affiliation Department of Electrical and Electronic Engineering,Faculty of Engineering,Tokyo Institute of Technology
3rd Author's Name Shigeo Tsujii
3rd Author's Affiliation Department of Electrical and Electronic Engineering,Faculty of Engineering,Tokyo Institute of Technology
Date 1994/3/18
Paper # ISEC93-100
Volume (vol) vol.93
Number (no) 525
Page pp.pp.-
#Pages 9
Date of Issue