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» Linear Operator Channels over Finite Fields
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COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 8 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
CORR
2004
Springer
117views Education» more  CORR 2004»
13 years 6 months ago
Efficient dot product over word-size finite fields
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
Jean-Guillaume Dumas
CORR
2006
Springer
163views Education» more  CORR 2006»
13 years 6 months ago
Finding roots of polynomials over finite fields
In this paper we propose an improved algorithm for finding roots of polynomials over finite fields. This makes possible significant speed up of the decoding process of BCH, Reed-S...
Sergei V. Fedorenko, Peter Vladimirovich Trifonov
CADE
2005
Springer
14 years 6 months ago
Temporal Logics over Transitive States
Abstract. We investigate the computational behaviour of `two-dimensional' propositional temporal logics over (N, <) (with and without the next-time operator ?) that are cap...
Boris Konev, Frank Wolter, Michael Zakharyaschev
MOC
2002
85views more  MOC 2002»
13 years 6 months ago
Hensel lifting and bivariate polynomial factorisation over finite fields
This paper presents an average time analysis of a Hensel lifting based factorisation algorithm for bivariate polynomials over finite fields. It is shown that the average running ti...
Shuhong Gao, Alan G. B. Lauder