Codes and Noncommutative Stochastic Matrices
Rings and Algebras
2008-09-01 v1 Information Theory
math.IT
Abstract
Given a matrix over a skew field fixing the column (1,...,1)^t, we give formulas for a row vector fixed by this matrix. The same techniques are applied to give noncommutative extensions of probabilistic properties of codes.
Cite
@article{arxiv.0808.4100,
title = {Codes and Noncommutative Stochastic Matrices},
author = {Sylvain Lavallée and Christophe Reutenauer and Vladimir Retakh and Dominique Perrin},
journal= {arXiv preprint arXiv:0808.4100},
year = {2008}
}
Comments
24 pages, Latex