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CHES
2004
Springer
148views Cryptology» more  CHES 2004»
14 years 2 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
CTRSA
2001
Springer
121views Cryptology» more  CTRSA 2001»
14 years 1 months ago
Software Implementation of the NIST Elliptic Curves Over Prime Fields
Michael Brown, Darrel Hankerson, Julio Lópe...
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
14 years 1 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar
ASAP
2010
IEEE
315views Hardware» more  ASAP 2010»
13 years 6 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...
WAIFI
2010
Springer
194views Mathematics» more  WAIFI 2010»
14 years 1 months ago
Constructing Tower Extensions of Finite Fields for Implementation of Pairing-Based Cryptography
A cryptographic pairing evaluates as an element of a finite extension field, and the evaluation itself involves a considerable amount of extension field arithmetic. It is recogn...
Naomi Benger, Michael Scott