Repeated-Root Self-Dual Negacyclic Codes over Finite Fields

摘要

Let Fq be a finite field with q = pm, where p is an odd prime. In this paper, we study the repeated-root self-dual negacyclic codes over Fq. The enumeration of such codes is investigated. We obtain all the self-dual negacyclic codes of length 2apr over Fq, a ≥ 1.The construction of self-dual negacyclic codes of length 2abpr over Fq is also provided, where gcd（2, b） = gcd（b, p） = 1 and a ≥ 1.