Generating matrices of highest order over a finite field
Group Theory
2007-05-23 v1
Abstract
Shift registers/Primitive polynomials find applications in various branches of Mathematics, Coding Theory and Cryptography. Matrix analogues of primitive polynomials do exist. In this paper, an algorithmic approach to generating all such matrices over GF(2) has been presented. A technique for counting all such n x n matrices over GF(2) is also presented. The technique may be easily extended to other finite fields.
Cite
@article{arxiv.math/0511651,
title = {Generating matrices of highest order over a finite field},
author = {Piyasi Choudhury},
journal= {arXiv preprint arXiv:math/0511651},
year = {2007}
}