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ASAP
2010
IEEE
315views Hardware» more  ASAP 2010»
13 years 2 months ago
A compact FPGA-based architecture for elliptic curve cryptography over prime fields
Abstract--This paper proposes an FPGA-based applicationspecific elliptic curve processor over a prime field. This research targets applications for which compactness is more import...
Jo Vliegen, Nele Mentens, Jan Genoe, An Braeken, S...
INDOCRYPT
2001
Springer
13 years 9 months ago
Elliptic Curves of Prime Order over Optimal Extension Fields for Use in Cryptography
We present an algorithm for generating elliptic curves of prime order over Optimal Extension Fields suitable for use in cryptography. The algorithm is based on the theory of Comple...
Harald Baier
AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 8 months ago
Fast Point Multiplication on Elliptic Curves through Isogenies
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...
Eric Brier, Marc Joye
CHES
2004
Springer
148views Cryptology» more  CHES 2004»
13 years 10 months ago
Aspects of Hyperelliptic Curves over Large Prime Fields in Software Implementations
We present an implementation of elliptic curves and of hyperelliptic curves of genus 2 and 3 over prime fields. To achieve a fair comparison between the different types of groups,...
Roberto Maria Avanzi