An improved algorithm for arithmetic on a family of elliptic curves

Author:

Solinas Jerome A.

Publisher

Springer Berlin Heidelberg

Reference15 articles.

1. D. Gordon, “A survey of fast exponentiation methods” (to appear).

2. D. E. Knuth, Seminumerical Algorithms, Addison-Wesley, 1981, p. 272.

3. F. Morain and J. Olivos, “Speeding up the computations on an elliptic curve using addition-subtraction chains”, Inform. Theor. Appl. 24 (1990), pp. 531–543.

4. A. Menezes, T. Okamoto and S. Vanstone, “Reducing elliptic curve logarithms to logarithms in a finite field”, Proc. 23rd Annual ACM Symp. on Theory of Computing (1991), pp. 80–89.

5. N. Koblitz, “CM curves with good cryptographic properties”, Proc. Crypto '91, Springer-Verlag, 1992, pp. 279–287.

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