Sciweavers

21 search results - page 1 / 5
» Costas array generator polynomials in finite fields
Sort
View
CISS
2008
IEEE
15 years 5 months ago
Costas array generator polynomials in finite fields
—Permutations of order N are generated using polynomials in a Galois field GF(q) where q > N+1, which can be written as a linear transformation on a vector of polynomial coeff...
James K. Beard
ARSCOM
2008
78views more  ARSCOM 2008»
14 years 11 months ago
Three challenges in Costas arrays
We present 3 open challenges in the field of Costas arrays. They are: a) the determination of the number of dots on the main diagonal of a Welch array, and especially the maximal ...
Konstantinos Drakakis
85
Voted
FFA
2010
84views more  FFA 2010»
14 years 9 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
96
Voted
ECCC
2010
104views more  ECCC 2010»
14 years 11 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
JSC
2002
61views more  JSC 2002»
14 years 10 months ago
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm
This paper describes a new algorithm for computing linear generators (vector generating polynomials) for matrix sequences, running in subquadratic time. This algorithm applies in ...
Emmanuel Thomé