Negacyclic codes and self-dual codes over Z_m
Zhao Lu-yi · Basic Sciences Journal of Textile Universities · 2008
In this paper,the relation between negacyclic over and negacyclic codes over their directsummand is studied by making use of the ring direct summand decomposition.The relation between codes over and the rings which have the same characteristics of Zm′s direct summand is also investigated by defining the isomorphism mapping of Zm to the rings which have the same characteristics of Zm′s direct summand.Necessary and sufficient conditions for the existence of self-dual codes over Zm are obtained.