Two classes of constacyclic codes with a square-root-like lower bound
CoRR(2024)
摘要
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 (q^m-1)/2 and an infinite class of q-ary constacyclic codes
of length (q^m-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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