The Study Of Checkable Codes From Group Rings

In this paper, we discuss a class of particular code zero divisor code, which have one single check clement over group rings. We give a criterion to check that whether a group code is checkable or not when the group is a finite abelian group and the ring is a finite field. Some examples are given to explain our main result, compute the corresponding generator and check matrices for this class of group codc,derive the corresponding parameters of the codes and check these codes whether they arc checkable.