Schoof-Elkies-Atkin Algorithm

An algorithm for determining the order of an elliptic curve  over the finite field .

REFERENCES:

Izu, T.; Kogure, J.; Noro, M.; and Yokoyama, K. "Efficient Implementation of Schoof's Algorithm." Advances in Cryptology: ASIACRYPT'98: International Conference on the Theory and Application of Cryptology and Information Security, Beijing, China, October 18-22, 1998 (Ed. K. Ohta and D. Pei). New York: Springer-Verlag, pp. 66-79, 1998.

Schoof, R. "Elliptic Curves Over Finite Fields and the Computation of Square Roots mod ." Math. Comput. 44, 483-494, 1985.

Schoof, R. "Counting Points on Elliptic Curves Over Finite Fields." J. Théor. Nombres Bordeaux 7, 219-264, 1995.