Improved construction of quantum constacyclic BCH codes

Authors:Zhou, Yajing*; Kai, Xiaoshan; Zhu, Shixin
Source:Quantum Information Processing, 2023, 22(10): 390.
DOI:10.1007/s11128-023-04148-1

Summary

In this work, we investigate a class of narrow-sense constacyclic BCH codes of length q(2m)-1/a(q+1) over the finite field F-q2, where q is a prime power, m >= 2 is an even integer, and a not equal 1 is a divisor of q - 1. The maximum designed distances such that narrow-sense constacyclic BCH codes contain their Hermitian dual codes are determined. The dimensions of the corresponding Hermitian dual-containing codes are worked out. Further, the related quantum codes are constructed. The construction improves the parameters of quantum codes available in the literature.

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