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» On multiplication in finite fields
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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
TIT
1998
78views more  TIT 1998»
15 years 1 months ago
Stationary Markov Random Fields on a Finite Rectangular Lattice
—This paper provides a complete characterization of stationary Markov random fields on a finite rectangular (nontoroidal) lattice in the basic case of a second-order neighborho...
Fréderic Champagnat, Jérôme Id...
FFA
2010
84views more  FFA 2010»
15 years 14 days ago
Generating series for irreducible polynomials over finite fields
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
Arnaud Bodin
FFA
2010
81views more  FFA 2010»
15 years 14 days ago
Permutations, hyperplanes and polynomials over finite fields
András Gács, Tamás Hég...