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Abstract: Elliptic curve cryptosystems are usually implemented over elds of characteristic two or over (large) prime elds. For large prime elds, projective coordinates are more suitable as they reduce the computational workload in a point multiplication. In this case, choosing for parameter a the value 3 further reduces the workload. Over Fp , not all elliptic curves can be rescaled through isomorphisms to the case a = 3. (Update)
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BibTeX entry: (Update)
@misc{ brier-fast,
author = "Eric Brier and Marc Joye",
title = "Fast Point Multiplication on Elliptic Curves through Isogenies",
url = "citeseer.ist.psu.edu/article/brier03fast.html" }
Citations (may not include all citations):352 A course in computational algebraic number theory (context) - Cohen - 1993
143 Digital signature standard (context) - of, Technology - 2000
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12 volume 106 of Graduate Texts in Mathematics (context) - Silverman, of - 1986
7 IEEE standard speci cations for public-key cryptography (context) - Society - 2000
5 vol 877 of Lecture Notes in Computer Science (context) - Couveignes, cois et al. - 1994
4 Standards for ecient cryptography (context) - Research - 2000
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