Abstract

In this paper, we take advantage of a class of one-generator generalized quasi-cyclic (GQC) codes of index 2 to construct quantum error-correcting codes. By studying the form of Hermitian dual codes and their algebraic structure, we propose a sufficient condition for self-orthogonality of GQC codes with Hermitian inner product. By comparison, the quantum codes we constructed have better parameters than known codes.

Details

Title
An explicit construction of quantum codes from one-generator generalized quasi-cyclic codes
Author
Yao, Yu; Ma, Yuena; Li, Husheng; Lv, Jingjie
Section
Communication Technology
Publication year
2021
Publication date
2021
Publisher
EDP Sciences
ISSN
22747214
e-ISSN
2261236X
Source type
Conference Paper
Language of publication
English
ProQuest document ID
2583942624
Copyright
© 2021. This work is licensed under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and conditions, you may use this content in accordance with the terms of the License.