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» Factoring Polynomials over Finite Fields using Balance Test
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144
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FOCS
2010
IEEE
15 years 1 months ago
A Fourier-Analytic Approach to Reed-Muller Decoding
Abstract. We present a Fourier-analytic approach to list-decoding Reed-Muller codes over arbitrary finite fields. We use this to show that quadratic forms over any field are locall...
Parikshit Gopalan
123
Voted
HPCS
2009
IEEE
15 years 7 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
145
Voted
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
16 years 3 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
127
Voted
ASIACRYPT
2006
Springer
15 years 7 months ago
The 2-Adic CM Method for Genus 2 Curves with Application to Cryptography
Abstract. The complex multiplication (CM) method for genus 2 is currently the most efficient way of generating genus 2 hyperelliptic curves defined over large prime fields and suit...
Pierrick Gaudry, T. Houtmann, D. Kohel, Christophe...
154
Voted
NIPS
2000
15 years 4 months ago
Learning Continuous Distributions: Simulations With Field Theoretic Priors
Learning of a smooth but nonparametric probability density can be regularized using methods of Quantum Field Theory. We implement a field theoretic prior numerically, test its eff...
Ilya Nemenman, William Bialek