FFA
2010
13 years 2 months ago
2010
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&...
FFA
2010
13 years 2 months ago
2010
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...
FFA
2010
13 years 3 months ago
2010
FFA
2010
13 years 3 months ago
2010
FFA
2010
13 years 3 months ago
2010
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...
FFA
2010
13 years 3 months ago
2010
FFA
2010
13 years 3 months ago
2010
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...
FFA
2010
13 years 3 months ago
2010
FFA
2010
13 years 3 months ago
2010
FFA
2010
13 years 3 months ago
2010
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...