Sciweavers

22 search results - page 4 / 5
» Construction of Rational Points on Elliptic Curves over Fini...
Sort
View
DCC
2000
IEEE
14 years 9 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas
CRYPTO
1991
Springer
150views Cryptology» more  CRYPTO 1991»
15 years 1 months ago
CM-Curves with Good Cryptographic Properties
Our purpose is to describe elliptic curves with complex multiplication which in characteristic 2 have the following useful properties for constructing Diffie-HeUman type cryptosys...
Neal Koblitz
72
Voted
CORR
2010
Springer
110views Education» more  CORR 2010»
14 years 9 months ago
Construction of Rational Surfaces Yielding Good Codes
In the present article, we consider algebraic geometry codes on some rational surfaces. The estimate of the minimum distance is translated into a point counting problem on plane cu...
Alain Couvreur
CORR
2004
Springer
104views Education» more  CORR 2004»
14 years 9 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...
DCC
2007
IEEE
15 years 9 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