Linear codes, constacyclic codes and skew constacyclic codes over some finite rings

In this thesis, Z2Z2[v]- linear codes are studied, where v^2=1. The standart form of the generator matrix and parity- check matrix of Z2Z2[v]- linear codes are obtained. After, generator polynomials of Z2Z2[v]- (v)-constacyclic codes and their minimal spanning set are determined. The one-to-one relationship between cyclic codes and constacylic codes is given. Hence, the structure of dual codes of cyclic codes and therefore constacyclic codes are investigated. The Z2- image of (v)- constacyclic code over Z2Z2[v]- is quasi cyclic code with 2- index is proved. Finally, skew constacyclic codes over R1 and Z4R1 are studided, where v^2=1 and R1=Z4+vZ4. The generator polynomials of the codes over this ring are given. Different automorphisms and different gray maps over R1 are given. Also, double skew constacyclic codes over Z4R1 are given. Keywords: Linear codes, cyclic codes, constacyclic codes, skew constacyclic codes, skew polynomial ring