Quantum Codes from Linear Codes over Finite Chain Rings
Information Theory
2017-04-24 v1 math.IT
Abstract
In this paper, we provide two methods of constructing quantum codes from linear codes over finite chain rings. The first one is derived from the Calderbank-Shor-Steane (CSS) construction applied to self-dual codes over finite chain rings. The second construction is derived from the CSS construction applied to Gray images of the linear codes over finite chain ring . The good parameters of quantum codes from cyclic codes over finite chain rings are obtained.
Cite
@article{arxiv.1704.06375,
title = {Quantum Codes from Linear Codes over Finite Chain Rings},
author = {Xiusheng Liu and Hualu Liu},
journal= {arXiv preprint arXiv:1704.06375},
year = {2017}
}