Negacyclic self-dual codes over finite chain rings

摘要

In this article, we study negacyclic self-dual codes of length n over a finite chain ring R when the characteristic p of the residue field R and the length n are relatively prime. We give necessary and sufficient conditions for the existence of (nontrivial) negacyclic self-dual codes over a finite chain ring. As an application, we construct negacyclic MDR self-dual codes over GR(p~t,m) of length p~m + 1.