Quantum Goethals-Preparata Codes
Quantum Physics
2009-05-24 v1 Information Theory
math.IT
Abstract
We present a family of non-additive quantum codes based on Goethals and Preparata codes with parameters ((2^m,2^{2^m-5m+1},8)). The dimension of these codes is eight times higher than the dimension of the best known additive quantum codes of equal length and minimum distance.
Cite
@article{arxiv.0801.2150,
title = {Quantum Goethals-Preparata Codes},
author = {Markus Grassl and Martin Roetteler},
journal= {arXiv preprint arXiv:0801.2150},
year = {2009}
}
Comments
Submitted to the 2008 IEEE International Symposium on Information Theory