Two classes of quantum codes from almost MDS codes

作者:Sun, Zhonghua*; Liu, Xinyue; Zhu, Shixin
来源:INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2023, 2350032.
DOI:10.1142/S0219749923500326

摘要

Hermitian dual-containing codes are an important class of linear codes which have important applications in the construction of quantum codes. In this paper, two classes of Hermitian dual-containing almost MDS codes over finite fields are studied. By employing the Hermitian construction, a class of quantum codes with minimum distance 3 and a class of quantum codes with minimum distance 4 are constructed.

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