Linear Codes Over Some Classes Of Rings

With the development of the theory about constacyclic codes and linear codes over finite field,the theory of constacyclic codes and linear codes over finite rings also have obtained extensively study and development.And some finite non-chain rings also recei-ved a great deal of interest.In this paper,we study linear codes over some classes of fin-ite non-chain rings.The paper includes two parts as follows:On one hand,we study(? + u?)-constacyclic codes of length 2pe over Fp + uFp +vFp + uvFp,where ?,??Fp,and p is an odd prime integer.We find that each ideal has a unique distinguished set of generator and the dual codes of(?+u?)-constacyclic codes are obtained.The Hamming distances of these codes are determined.On the other hand,self-dual codes over the ring Z4 are constructed by using the self-dual codes over the ring Z4 + uZ4(u2 = 0).By introducing a Gray map from(Z4 + uZ4)n to Z44n,some properties of self-dual codes overZ4+uZ4(u2 = 0)are given,and examples of self-dual codes over Z4 with good parameters are presented.