中文 | English

J. Hefei Univ. Tech. (Nat. Sci.)

合肥工业大学学报(自然科学版)

JOURNAL OF HEFEI UNIVERSITY OF TECHNOLOGY (NATURAL SCIENCE)

Competent Authorities: Ministry of Education of the People's Republic of China

Sponsor by: Hefei University of Technology

ISSN 1000-1646, CN 34-1001/N

Construction of a class of quantum negacyclic codes

Download Full Text

一类量子负循环码的构造

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Jan.2023, Vol.46 No.1: 141-144

DOI: 10.3969/j.issn.1003-5060.2023.01.022

Authors

LIU Taoran, KAI Xiaoshan

(School of Mathematics, Hefei University of Technology, Hefei 230601, China)

Abstract and Keywords

Abstract: This paper studies negacyclic Bose-Chaudhuri-Hocquenghem (BCH) codes over the finite field $ F_{q^{2}} $ of length $ (q^{4}-1)/8 $, where q is an odd prime power and $ q \equiv 1 \pmod{4} $; the maximum designed distance of Hermitian dual-containing negacyclic BCH codes is given and the dimension of these codes is determined; a new class of quantum codes with good parameters is constructed using the Hermitian construction.

Keywords: negacyclic codes; Hermitian dual-containing codes; cyclotomic coset; quantum codes

作者信息

刘陶然，开晓山

(合肥工业大学数学学院，安徽合肥230601)

摘要和关键词

摘要: 文章研究了有限域 $ F_{q^{2}} $ 上长为 $ (q^{4}-1)/8 $ 的负循环 Bose-Chaudhuri-Hocquenghem(BCH) 码，其中 q 为奇素数幂且 $ q \equiv 1 \pmod{4} $；给出了厄米特对偶包含负循环 BCH 码的最大设计距离，并确定了它们的维数；利用厄米特构造法，得到了新的参数良好的量子码。

关键词: 负循环码；厄米特对偶包含码；分圆陪集；量子码

Funding

国家自然科学基金资助项目（61972126；62002093）

Previous

Back to Contents