Nonbinary Quantum Reed-Muller Codes
Quantum Physics
2007-05-23 v1
Abstract
We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial answer to a question raised by Grassl, Beth and Roetteler on the existence of q-ary quantum MDS codes of length n with q\le n\le q^2-1.
Cite
@article{arxiv.quant-ph/0502001,
title = {Nonbinary Quantum Reed-Muller Codes},
author = {Pradeep Kiran Sarvepalli and Andreas Klappenecker},
journal= {arXiv preprint arXiv:quant-ph/0502001},
year = {2007}
}
Comments
4 pages, submitted to IEEE ISIT 2005