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DLT
2009
14 years 11 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»
15 years 1 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»
15 years 1 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
101
Voted
ISSAC
2009
Springer
163views Mathematics» more  ISSAC 2009»
15 years 8 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
130
Voted
AAECC
1997
Springer
115views Algorithms» more  AAECC 1997»
15 years 6 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