Elliptic Curves And Primality Proving (1993)

by A. O. L. Atkin , F. Morain
Venue:Math. Comp
Citations:162 - 22 self

Documents Related by Co-Citation

51 The number of points on an elliptic curve modulo a prime. manuscript – A O L Atkin - 1988
233 Factoring integers with elliptic curves – H W Lenstra - 1987
285 Reducing elliptic curve logarithms to logarithms in a finite field – A Menezes, T Okamoto, S Vanstone - 1993
17 Enumeration of rational points on elliptic curves over finite fields – L S Charlap, R Coley, D P Robbins - 1991
171 Elliptic curves over finite fields and the computation of square roots mod p – René Schoof - 1985
51 Constructing Elliptic Curves with Prescribed Embedding Degrees – Paulo S.L.M. Barreto, Ben Lynn, Michael Scott - 2002
102 Sequences of numbers generated by addition in formal groups and new primality and factorization tests. Adv – D V Chudnovsky, G V Chudnovsky - 2000
819 The Arithmetic of Elliptic Curves – J Silverman
41 A one round protocol for tripartite Di e-Hellman – Antoine Joux - 2000
75 The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm – R Balasubramanian, N Koblitz - 1998
1123 Identity-Based Encryption from the Weil Pairing – Dan Boneh, Matthew Franklin - 2001
32 Algorithms in number theory – A K Lenstra, H W Lenstra - 1990
36 Calcul du nombre de points sur une courbe elliptique dans un corps fini: aspects algorithmiques, Journal de Théorie des Nombres de Bordeaux 7 – François Morain - 1995
8 Primality testing using elliptic curves – W Bosma - 1985
31 Building curves with arbitrary small MOV degree over finite prime fields – R. Dupont, A. Enge, F. Morain - 2002
19 Explicit isogenies – N Elkies - 1992
82 Counting Points on Elliptic Curves Over Finite Fields – René Schoof, Par Ren E Schoof - 1995
691 Elliptic curve cryptosystems – N Koblitz - 1987
528 Uses of elliptic curves in cryptography – V Miller - 1985