Presentation 2002/9/13
偶数次拡大体上の種数2超楕円曲線暗号に対するWeil descent attackについて
Seigo ARITA,
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Abstract(in English) The paper shows that genus two hyperelliptic curve cryptosystems over even degree finite fields come under Weil descent attack. Given a hyperelliptic curve of genus two over an even degree finite field, we construct an algebraic curve of genus eight over the subfield of the half degree, using the technique of Weil descent. We reduce DLP(Discrete Logarithm Problem) on the hyperelliptic curve to DLP on the new curve, and apply Gaudry variant against the Cab model of the curve.
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Keyword(in English) hyperelliptic curve cryptosystem / Weil descent attack / C_ curve
Paper # ISEC2002-62
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Committee ISEC
Conference Date 2002/9/13(1days)
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Registration To Information Security (ISEC)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English)
Sub Title (in English)
Keyword(1) hyperelliptic curve cryptosystem
Keyword(2) Weil descent attack
Keyword(3) C_ curve
1st Author's Name Seigo ARITA
1st Author's Affiliation Internet Systems Research Laboratories, NEC()
Date 2002/9/13
Paper # ISEC2002-62
Volume (vol) vol.102
Number (no) 323
Page pp.pp.-
#Pages 8
Date of Issue