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STOC
2005
ACM
144views Algorithms» more  STOC 2005»
14 years 8 months ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov
ANTS
2008
Springer
110views Algorithms» more  ANTS 2008»
13 years 10 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 12 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 8 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 9 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