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» Irreducible trinomials over finite fields
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FFA
2010
84views more  FFA 2010»
14 years 10 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
87
Voted
MOC
1998
98views more  MOC 1998»
14 years 11 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
15 years 11 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...
75
Voted
DCG
2010
79views more  DCG 2010»
14 years 11 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