Convolutional codes from units in matrix and group rings
Information Theory
2007-11-26 v1 math.IT
Rings and Algebras
Abstract
A general method for constructing convolutional codes from units in Laurent series over matrix rings is presented. Using group ring as matrix rings, this forms a basis for in-depth exploration of convolutional codes from group ring encoding, wherein the ring in the group ring is itself a group ring. The method is used to algebraically construct series of convolutional codes. Algebraic methods are used to compute free distances and to construct convolutional codes to prescribed distances.
Cite
@article{arxiv.0711.3629,
title = {Convolutional codes from units in matrix and group rings},
author = {Ted Hurley},
journal= {arXiv preprint arXiv:0711.3629},
year = {2007}
}