Quantum codes constructed from cyclic codes over the ring $\mathbb{F}_q+v\mathbb{F}_q+v^2\mathbb{F}_q+v^3\mathbb{F}_q+v^4\mathbb{F}_q$
Information Theory
2021-12-30 v2 math.IT
Abstract
In this article, we investigate properties of cyclic codes over a finite non-chain ring where is a positive integer, is an odd prime, and As an application, we construct several quantum error correcting codes over the finite field
Keywords
Cite
@article{arxiv.2112.13488,
title = {Quantum codes constructed from cyclic codes over the ring $\mathbb{F}_q+v\mathbb{F}_q+v^2\mathbb{F}_q+v^3\mathbb{F}_q+v^4\mathbb{F}_q$},
author = {Djoko Suprijanto and Hopein Christofen Tang},
journal= {arXiv preprint arXiv:2112.13488},
year = {2021}
}
Comments
14 pages, submitted to the journal at November 28, 2021