Construction of Secure C_<ab> Curves Using Modular Curves
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概要
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This paper proposes a heuristic algorithm which, given a basis of a subspace of the space of cuspforms of weight 2 for Γ_0(N)which is invariant for the action of the Hecke operators, tests wheter the subspace corresponds to a quotient A of the jacobian of the modular curve X_0(N)such that A is the jacobian of a curve C. Moreover, equations for such a curve C are computed which make the quotient suitable for applications in cryptography. One advantage of using such quotients of modular jacobians is that fast meethods are known for finding their number of points over finite fields.
- 一般社団法人電子情報通信学会の論文
- 2001-11-01