The main purpose of this paper is to present some methods of choosing
secure ECs for construction of cryptographical protocols and hardware implementation
of coprocesor that performs aritmetical operations over this set of algebraic curves.
G. Frey and H.-G. Ruck, A remark concerning m-divisibility and the discrete logarithm in the divisor class group of curves, Math. Comp., 62(206):865–874, 1994.
A.J. Menezes, T. Okamoto, and S.A. Vanstone, Reducing elliptic curve logarithms to logarithms is a finie field, IEEE Trans. Information Theory, 39(5):1639–1646, 1993.
S.C. Pohlig and M.E. Hellman, An improved algorithm for computing logarithms over gf (p) and its cryptographic significances, IEEE Trans. Information Theory, IT-24(1):106–110, 1978.
I. A. Semaev, Evaluation of discrete logarithms in a group of p-torsion points of an elliptic curve in characteristic p, Math. Comp., 67(221):353–356, 1998.
R. Schoof, Counting points on elliptic curves over finite fields, J. Th´eor, Nombres Bordeaux, 7(1):219–254, 1995. Les Dix-huiti´emes Journ´ees Arithm´etiques (Bordeaux, 1993).
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