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» Permutations, hyperplanes and polynomials over finite fields
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ANTS
2008
Springer
110views Algorithms» more  ANTS 2008»
13 years 9 months ago
Computing Hilbert Class Polynomials
We present and analyze two algorithms for computing the Hilbert class polynomial HD. The first is a p-adic lifting algorithm for inert primes p in the order of discriminant D < ...
Juliana Belding, Reinier Bröker, Andreas Enge...
PKC
2000
Springer
118views Cryptology» more  PKC 2000»
13 years 11 months ago
An Identification Scheme Based on Sparse Polynomials
This paper gives a new example of exploiting the idea of using polynomials with restricted coefficients over finite fields and rings to construct reliable cryptosystems and identif...
William D. Banks, Daniel Lieman, Igor Shparlinski
CORR
2008
Springer
132views Education» more  CORR 2008»
13 years 7 months ago
Trading GRH for algebra: algorithms for factoring polynomials and related structures
Abstract. In this paper we develop a general technique to eliminate the assumption of the Generalized Riemann Hypothesis (GRH) from various deterministic polynomial factoring algor...
Gábor Ivanyos, Marek Karpinski, Lajos R&oac...
WSC
2000
13 years 8 months ago
A new class of linear feedback shift register generators
An efficient implementation of linear feedback shift register sequences with a given characteristic polynomial is obtained by a new method. It involves a polynomial linear congrue...
Pierre L'Ecuyer, François Panneton
HPCS
2009
IEEE
13 years 11 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