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DLT
2009
13 years 5 months ago
On the Complexity of Deciding Avoidability of Sets of Partial Words
Blanchet-Sadri et al. have shown that Avoidability, or the problem of deciding the avoidability of a finite set of partial words over an alphabet of size k 2, is NP-hard [Theoret...
Brandon Blakeley, Francine Blanchet-Sadri, Josh Gu...
MOC
1998
97views more  MOC 1998»
13 years 7 months ago
Euclid's algorithm and the Lanczos method over finite fields
Abstract. This paper shows that there is a close relationship between the Euclidean algorithm for polynomials and the Lanczos method for solving sparse linear systems, especially w...
Jeremy Teitelbaum
FOCM
2008
77views more  FOCM 2008»
13 years 7 months ago
Modular Counting of Rational Points over Finite Fields
Let Fq be the finite field of q elements, where q = ph. Let f(x) be a polynomial over Fq in n variables with m non-zero terms. Let N(f) denote the number of solutions of f(x) = 0 ...
Daqing Wan
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
14 years 1 months ago
Fast arithmetics in artin-schreier towers over finite fields
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
Luca De Feo, Éric Schost
AAECC
1997
Springer
115views Algorithms» more  AAECC 1997»
13 years 11 months ago
Efficient Multivariate Factorization over Finite Fields
We describe the Maple [23] implementation of multivariate factorization over general finite fields. Our first implementation is available in Maple V Release 3. We give selected det...
Laurent Bernardin, Michael B. Monagan