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EUROCRYPT
1999
Springer
13 years 11 months ago
On the Performance of Hyperelliptic Cryptosystems
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
Nigel P. Smart
JCP
2007
127views more  JCP 2007»
13 years 7 months ago
Comparison of Simple Power Analysis Attack Resistant Algorithms for an Elliptic Curve Cryptosystem
Abstract— Side channel attacks such as Simple Power Analysis(SPA) attacks provide a new challenge for securing algorithms from an attacker. Algorithms for elliptic curve point sc...
Andrew Byrne, Nicolas Meloni, Arnaud Tisserand, Em...
DCC
2007
IEEE
14 years 7 months ago
Inferring sequences produced by a linear congruential generator on elliptic curves missing high-order bits
Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...
Jaime Gutierrez, Álvar Ibeas
ISSAC
1992
Springer
109views Mathematics» more  ISSAC 1992»
13 years 11 months ago
Easy Numbers for the Elliptic Curve Primality Proving Algorithm
We present some new classes of numbers that are easier to test for primality with the Elliptic Curve Primality Proving algorithm than average numbers. It is shown that this is the...
François Morain
MOC
2010
13 years 2 months ago
Choosing the correct elliptic curve in the CM method
We give an elementary way to distinguish between the twists of an ordinary elliptic curve E over Fp in order to identify the one with p+1-2U points, when p = U2 + dV 2 with 2U, 2V ...
Karl Rubin, Alice Silverberg