2022
DOI: 10.48550/arxiv.2210.08716
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On construction of quantum codes with dual-containing quasi-cyclic codes

Chaofeng Guan,
Ruihu Li,
Liangdong Lu
et al.

Abstract: One of the main objectives of quantum error-correction theory is to construct quantum codes with optimal parameters and properties. In this paper, we propose a class of 2-generator quasi-cyclic codes and study their applications in the construction of quantum codes over small fields. Firstly, some sufficient conditions for these 2-generator quasicyclic codes to be dual-containing concerning Hermitian inner product are determined. Then, we utilize these Hermitian dual-containing quasicyclic codes to produce qua… Show more

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