Repeat Codes, Even Codes, Odd Codes and Their Equivalence

Codes over the chain ring are obtained by writing special matrices. Gray images of these codes are binary codes. It is shown that first repeat code, second repeat code, even code and odd code are either equivalent or equal to these codes. The definitions of direct sum and direct product of these codes were given. Moreover dual codes were classed. Self dual codes and self orthogonal codes were established.