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ANTS
1998
Springer
123views Algorithms» more  ANTS 1998»
13 years 11 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
JSC
2000
69views more  JSC 2000»
13 years 6 months ago
Generic Polynomials with Few Parameters
We call a polynomial g(t1, . . . , tm, X) over a field K generic for a group G if it has Galois group G as a polynomial in X, and if every Galois field extension N/L with K L and...
Gregor Kemper, Elena Mattig
APAL
2008
84views more  APAL 2008»
13 years 6 months ago
Resolution over linear equations and multilinear proofs
We develop and study the complexity of propositional proof systems of varying strength extending resolution by allowing it to operate with disjunctions of linear equations instead ...
Ran Raz, Iddo Tzameret
SACRYPT
2001
Springer
106views Cryptology» more  SACRYPT 2001»
13 years 11 months ago
Fast Normal Basis Multiplication Using General Purpose Processors
—For cryptographic applications, normal bases have received considerable attention, especially for hardware implementation. In this article, we consider fast software algorithms ...
Arash Reyhani-Masoleh, M. Anwarul Hasan
HPCS
2009
IEEE
13 years 10 months ago
FFT-Based Dense Polynomial Arithmetic on Multi-cores
We report efficient implementation techniques for FFT-based dense multivariate polynomial arithmetic over finite fields, targeting multi-cores. We have extended a preliminary study...
Marc Moreno Maza, Yuzhen Xie