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» Irreducible trinomials over finite fields
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FFA
2010
84views more  FFA 2010»
13 years 3 months 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
MOC
1998
98views more  MOC 1998»
13 years 4 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
DCC
2007
IEEE
14 years 4 months ago
Parallel Itoh-Tsujii multiplicative inversion algorithm for a special class of trinomials
In this contribution, we derive a novel parallel formulation of the standard Itoh-Tsujii algorithm for multiplicative inverse computation over GF(2m). The main building blocks use...
Francisco Rodríguez-Henríquez, Guillermo Morales...
DCG
2010
79views more  DCG 2010»
13 years 5 months ago
Three-Dimensional Classical Groups Acting on Polytopes
Let V be a 3-dimensional vector space over a finite field. We show that any irreducible subgroup of GL(V ) that arises as the automorphism group of an regular polytope preserves a...
Peter A. Brooksbank, Deborah A. Vicinsky