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» Extractors for binary elliptic curves
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SACRYPT
1999
Springer
13 years 9 months ago
Elliptic Curve Pseudorandom Sequence Generators
In this paper, we introduce a new approach to the generation of binary sequences by applying trace functions to elliptic curves over GF 2m. We call these sequences elliptic curve...
Guang Gong, Thomas A. Berson, Douglas R. Stinson
IJNSEC
2006
94views more  IJNSEC 2006»
13 years 4 months ago
A Binary Redundant Scalar Point Multiplication in Secure Elliptic Curve Cryptosystems
The main back-bone operation in elliptic curve cryptosystems is scalar point multiplication. The most frequently used method implementing the scalar point multiplication which is ...
Sangook Moon
TC
2011
12 years 11 months ago
Hybrid Binary-Ternary Number System for Elliptic Curve Cryptosystems
—Single and double scalar multiplications are the most computational intensive operations in elliptic curve based cryptosystems. Improving the performance of these operations is ...
Jithra Adikari, Vassil S. Dimitrov, Laurent Imbert
EUROCRYPT
2012
Springer
11 years 7 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...