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AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 11 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
ASAP
2010
IEEE
315views Hardware» more  ASAP 2010»
13 years 5 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...
PAIRING
2010
Springer
237views Cryptology» more  PAIRING 2010»
13 years 6 months ago
High-Speed Software Implementation of the Optimal Ate Pairing over Barreto-Naehrig Curves
This paper describes the design of a fast software library for the computation of the optimal ate pairing on a Barreto–Naehrig elliptic curve. Our library is able to compute the ...
Jean-Luc Beuchat, Jorge E. González-D&iacut...
IJNSEC
2008
135views more  IJNSEC 2008»
13 years 7 months ago
Software Implementations of Elliptic Curve Cryptography
Elliptic Curve Cryptography (ECC) is a promising alternative for public-key algorithms in resource-constrained systems because it provides a similar level of security with much sh...
Zhijie Jerry Shi, Hai Yun
CORR
2004
Springer
104views Education» more  CORR 2004»
13 years 7 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...