A Method for Distinguishing the Two Candidate Elliptic Curves in CM Method

Author:

Nogami Yasuyuki,Morikawa Yoshitaka

Publisher

Springer Berlin Heidelberg

Reference12 articles.

1. Sato, T., Araki, K.: Fermat Quotients and the Polynomial Time Discrete Lot Algorithm for Anomalous Elliptic Curve. Commentarii Math. Univ. Sancti. Pauli 47(1), 81–92 (1998)

2. Frey, G., Rück, H.: A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of Curves. Math. Comp. 62, 865–874 (1994)

3. Gaudry, P., Hess, F., Smart, N.: Constructive and destructive facets of Weil descent on elliptic curves. Hewlett Packard Tech. Report HPL-2000-10 (2000)

4. Horiuchi, K., et al.: Construction of Elliptic Curves with Prime Order and Estimation of Its Complexity. IEICE Trans. J82-A(8), 1269-1277 (1999)

5. Lecture Notes in Computer Science;E. Konstantinou,2003

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