On cyclic codes over Z_4+uZ_4 and their Z_4-images

摘要

Linear codes over the ring Z_4+uZ_4 have been introduced recently. In this paper, we study cyclic codes over this ring. We determine algebraic structures of cyclic codes over Z_4+uZ_4 and obtain basic facts about their generators. Making use of their algebraic structure, we conducted a computer search for cyclic codes over Z_4+uZ_4 and obtained many new linear codes over Z_4. These codes have been added to the database of Z_4 codes.