Ternary quantum codes constructed from extremal self-dual codes and self-orthogonal codes

AIMS Mathematics

Liangdong Lu¹  Husheng Li¹  Chaofeng Guan¹  Hao Song¹  Ruihu Li¹ 

[1] Fundamentals Department, Air Force Engineering University, Xi'an, Shaanxi 710051 China;

关键词: s-chains;    self-dual codes;    self-orthogonal codes;    quantum codes;   

DOI  :  10.3934/math.2022363

来源: DOAJ

【 摘 要 】

In this paper, we consider S-chains of extremal self-dual and self-orthogonal codes and their applications in the construction of quantum codes. Then, by virtue of covering radius, we determine necessary conditions for linear codes to have subcodes with large dual distances and design a new S-chain search method. As computational results, 18 S-chains with large distances are obtained, and many good quantum codes can be derived from those S-chains by Steane construction, some of which improve the previous results.

【 授权许可】

Unknown