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COCO
2009
Springer
96views Algorithms» more  COCO 2009»
15 years 10 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
ISSAC
1997
Springer
138views Mathematics» more  ISSAC 1997»
15 years 10 months ago
Fast Polynomial Factorization Over High Algebraic Extensions of Finite Fields
New algorithms are presented for factoring polynomials of degree n over the finite field of q elements, where q is a power of a fixed prime number. When log q = n1+a , where a ...
Erich Kaltofen, Victor Shoup
ANTS
2010
Springer
246views Algorithms» more  ANTS 2010»
15 years 9 months ago
On Weil Polynomials of K3 Surfaces
Abstract. For K3 surfaces, we derive some conditions the characteristic polynomial of the Frobenius on the ´etale cohomology must satisfy. These conditions may be used to speed up...
Andreas-Stephan Elsenhans, Jörg Jahnel
CRYPTO
2007
Springer
144views Cryptology» more  CRYPTO 2007»
16 years 3 days ago
Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach
Coppersmith described at Eurocrypt 96 an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction. A simpler algorithm was later pro...
Jean-Sébastien Coron
STOC
1999
ACM
132views Algorithms» more  STOC 1999»
15 years 10 months ago
A Polynomial Combinatorial Algorithm for Generalized Minimum Cost Flow
We propose the first combinatorial solution to one of the most classic problems in combinatorial optimization: the generalized minimum cost flow problem (flow with losses and g...
Kevin D. Wayne