On the Efficient Generation of Elliptic Curves over Prime Fields

Author:

Konstantinou Elisavet,Stamatiou Yiannis C.,Zaroliagis Christos

Publisher

Springer Berlin Heidelberg

Reference24 articles.

1. A. O. L. Atkin, F. Morain, Elliptic curves and primality proving, Mathematics of Computation 61(1993), pp. 29–67.

2. E. R. Berlekamp, Factoring polynomials over large finite fields, Mathematics of Computation 24(1970), pp. 713–735.

3. H. Baier, and J. Buchmann, Efficient construction of cryptographically strong elliptic curves, in Progress in Cryptology-INDOCRYPT 2000, Lecture Notes in Computer Science Vol. 1977 (Springer-Verlag, 2000), pp. 191–202.

4. Ian Blake, Gadiel Seroussi, and Nigel Smart, Elliptic curves in cryptography, London Mathematical Society Lecture Note Series 265, Cambridge University Press, 1999.

5. D. Burton, Elementary Number Theory, McGraw Hill, 4th edition, 1998.

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