Constructing Elliptic Curve Cryptosystems in Characteristic 2 (1998)

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by Neal Koblitz
Citations:15 - 1 self

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15 Building Cyclic Elliptic Curves Modulo Large Primes – François Morain - 1987
9 Implementation Of The Atkin-Goldwasser-Kilian Primality Testing Algorithm – François Morain - 1988
Fast Bit-Level, Word-Level and Parallel Arithmetic in Finite Fields for Elliptic Curve Cryptosystems – Alper Halbutogullar - 1998
5 Efficient Algorithms for Implementing Elliptic Curve Public-Key Schemes – Dan Beauregard - 1996
1 Counting points on elliptic curves over F p n using Couveignes's algorithm – Reynald Lercier, François Morain - 1995
A Survey of Elliptic Curve Cryptosystems, Part I: Introductory – San C. Vo - 2003
1 Comparing the MOV and FR Reductions in Elliptic Curve Cryptography – Ryuichi Harasawa, Junji Shikata, Joe Suzuki, Hideki Imai - 1999
23 The Diffie-Hellman Protocol – Ueli M. Maurer, Stefan Wolf - 1999
7 Elliptic curve cryptography: The serpentine course of a paradigm shift – Ann Hibner Koblitz, Neal Koblitz, Alfred Menezes - 2008
SEC 1: Elliptic . . . – n.n. - 2000
138 Elliptic Curves And Primality Proving – A. O. L. Atkin, F. Morain - 1993
268 Guide to Elliptic Curve Cryptography – Aleksandar Jurisic, Alfred J. Menezes - 2004
38 New Public-Key Schemes Based on Elliptic Curves over the Ring Z_n – Kenji Koyama, Ueli M Maurer, Tatsuaki Okamoto, Scott A Vanstone - 1991
24 The Relationship Between Breaking the Diffie-Hellman Protocol and Computing Discrete Logarithms – Ueli M. Maurer , Stefan Wolf - 1998
2 The Diffie-Hellman problem and generalization of Verheul’s theorem – Dustin Moody - 2009
23 Algorithms for computing isogenies between elliptic curves – R. Lercier, F. Morain - 2000
10 Computing Zeta Functions of Hyperelliptic Curves over Finite Fields of Characteristic 2 – Frederik Vercauteren - 2002
14 An Extension of Kedlaya's Algorithm to Hyperelliptic Curves in Characteristic 2 – Jan Denef, Frederik Vercauteren - 2002
5 A Note on Cyclic Groups, Finite Fields, and the Discrete Logarithm Problem – Alfred J. Menezes, Scott A. Vanstone - 1992