Constacyclic codes over finite fields are an important class of linear codes as they contain distance-optimal codes and linear codes with best known parameters. They are interesting in theory and practice, as they have the constacyclic structure. In this paper, an infinite class of q-ary negacyclic codes of length (qᵐ-1)/2 and an infinite class of q-ary constacyclic codes of length (qᵐ-1)/(q-1) are constructed and analyzed. As a by-product, two infinite classes of ternary negacyclic self-dual codes with a square-root-like lower bound on their minimum distances are presented.
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Chen et al. (2024) studied this question.
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