Self-dual, dual-containing and related quantum codes from group rings
Information Theory
2007-11-27 v1 math.IT
Rings and Algebras
Abstract
Classes of self-dual codes and dual-containing codes are constructed. The codes are obtained within group rings and, using an isomorphism between group rings and matrices, equivalent codes are obtained in matrix form. Distances and other properties are derived by working within the group ring. Quantum codes are constructed from the dual-containing codes.
Cite
@article{arxiv.0711.3983,
title = {Self-dual, dual-containing and related quantum codes from group rings},
author = {Ted Hurley},
journal= {arXiv preprint arXiv:0711.3983},
year = {2007}
}