Sciweavers

FFA
2010
159views more  FFA 2010»
13 years 9 months ago
Parity of the number of irreducible factors for composite polynomials
Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan&...
Ryul Kim, Wolfram Koepf
FFA
2010
70views more  FFA 2010»
13 years 9 months ago
Fast arithmetic in unramified p-adic fields
Let p be prime and Zpn a degree n unramified extension of the ring of p-adic integers Zp. In this paper we give an overview of some very fast deterministic algorithms for common o...
Hendrik Hubrechts
FFA
2010
63views more  FFA 2010»
13 years 11 months ago
Twists of genus three curves over finite fields
Stephen Meagher, Jaap Top
FFA
2010
84views more  FFA 2010»
13 years 11 months ago
Dembowski-Ostrom polynomials from Dickson polynomials
Motivated by several recent results, we determine precisely when Fk(Xd, a) − Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or se...
Robert S. Coulter, Rex W. Matthews
FFA
2010
81views more  FFA 2010»
13 years 11 months ago
Permutations, hyperplanes and polynomials over finite fields
András Gács, Tamás Hég...
FFA
2010
84views more  FFA 2010»
13 years 11 months ago
Additive functions for number systems in function fields
Let Fq be a finite field with q elements and p ∈ Fq[X, Y ]. In this paper we study properties of additive functions with respect to number systems which are defined in the rin...
Manfred G. Madritsch, Jörg M. Thuswaldner
FFA
2010
86views more  FFA 2010»
13 years 11 months ago
Self-dual codes over commutative Frobenius rings
Steven T. Dougherty, Jon-Lark Kim, Hamid Kulosman,...
FFA
2010
84views more  FFA 2010»
13 years 11 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