Quantum codes derived from cyclic codes
Quantum Physics
2017-05-24 v1 Information Theory
math.IT
Abstract
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical) cyclic codes whose defining set consists of only one cyclotomic coset containing at least two consecutive integers.
Keywords
Cite
@article{arxiv.1705.00239,
title = {Quantum codes derived from cyclic codes},
author = {Giuliano G. La Guardia},
journal= {arXiv preprint arXiv:1705.00239},
year = {2017}
}
Comments
Accepted for publication in International Journal of Theoretical Physics