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» Algorithms for Exponentiation in Finite Fields
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CORR
2010
Springer
112views Education» more  CORR 2010»
13 years 7 months ago
Doubly Perfect Nonlinear Boolean Permutations
Due to implementation constraints the XOR operation is widely used in order to combine plaintext and key bit-strings in secretkey block ciphers. This choice directly induces the cl...
Laurent Poinsot
PC
2002
158views Management» more  PC 2002»
13 years 7 months ago
On parallel block algorithms for exact triangularizations
We present a new parallel algorithm to compute an exact triangularization of large square or rectangular and dense or sparse matrices in any field. Using fast matrix multiplicatio...
Jean-Guillaume Dumas, Jean-Louis Roch
ANTS
1998
Springer
123views Algorithms» more  ANTS 1998»
13 years 12 months ago
Primality Proving Using Elliptic Curves: An Update
In 1986, following the work of Schoof on counting points on elliptic curves over finite fields, new algorithms for primality proving emerged, due to Goldwasser and Kilian on the on...
François Morain
ESA
2006
Springer
96views Algorithms» more  ESA 2006»
13 years 11 months ago
Finite Termination of "Augmenting Path" Algorithms in the Presence of Irrational Problem Data
This paper considers two similar graph algorithms that work by repeatedly increasing "flow" along "augmenting paths": the Ford-Fulkerson algorithm for the maxi...
Brian C. Dean, Michel X. Goemans, Nicole Immorlica
CRYPTO
1998
Springer
105views Cryptology» more  CRYPTO 1998»
13 years 11 months ago
An Efficient Discrete Log Pseudo Random Generator
The exponentiation function in a finite field of order p (a prime number) is believed to be a one-way function. It is well known that O(log log p) bits are simultaneously hard for ...
Sarvar Patel, Ganapathy S. Sundaram