Two types of negacyclic BCH codes

07/24/2023

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by   Yanhui Zhang, et al.

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Negacyclic BCH codes are an important subclass of negacyclic codes, which have efficient encoding and decoding algorithms, but their parameters are difficult to determine. In this paper, we mainly study two types of negacyclic BCH codes of length n=q^m-1/4,q^m+1/4. As byproducts, we investigate the first three largest odd coset leaders modulo n. The parameters of two types of negacyclic BCH codes are analysed with small and large dimensions, and the weight distribution of neagcyclic BCH codes of length n=q^m-1/4 are determined for designed distance in some ranges.