Gaudry's Variant against C_<ab> Curves

スポンサーリンク

概要

• 論文の詳細を見る

• Gaudry has described a new algorithm(Gaudry's variant)for the discrete logarithm problem(DLP) in hyperelliptic curves. For a hyperelliptic curve of a small genus on a finite field GF(q), Gaudry's variant solves for the DLP in time O(q^<2+ε>). This paper shows that C_<ab> curves can be attacked with a modified form of Gaudry's variant and presents the timing results of such attack. However, Gaudry's variant cannot be effective in all of the C_<ab> curve cryptosystems. This paper also provides an example of a C_<ab> curve that is unassailable by Gaudry's variant.

• 一般社団法人電子情報通信学会の論文
• 2000-09-25

著者

• Arita S

  Nec Co. Kawasaki‐shi Jpn

• Arita Seigo

  Nec Co.

関連論文

• An Adaptive Algorithm for Cascaded Notch Filter with Reduced Bias
• On the Necessity of Estimating the Transfer Level in an Allpass-FIR ADF by the Use of Lyapunov Criteria
• Construction of Secure C_ Curves Using Modular Curves
• Gaudry's Variant against C_ Curves

スポンサーリンク