Good Stabilizer Codes from Quasi-Cyclic Codes over $\mathbb{F}_4$ and $\mathbb{F}_9$
Information Theory
2020-04-28 v1 math.IT
Abstract
We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over and to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature.
Cite
@article{arxiv.1906.04964,
title = {Good Stabilizer Codes from Quasi-Cyclic Codes over $\mathbb{F}_4$ and $\mathbb{F}_9$},
author = {Martianus Frederic Ezerman and San Ling and Buket Özkaya and Patrick Solé},
journal= {arXiv preprint arXiv:1906.04964},
year = {2020}
}
Comments
Accepted ISIT 2019