Cyclic and constacyclic codes over a non-chain ring
نویسندگان
چکیده
In this study, we consider linear and especially cyclic codes over the non-chain ring Zp[v]/〈v − v〉 where p is a prime. This is a generalization of the case p = 3. Further, in this work the structure of constacyclic codes are studied as well. This study takes advantage mainly from a Gray map which preserves the distance between codes over this ring and p-ary codes and moreover this map enlightens the structure of these codes. Furthermore, a MacWilliams type identity is presented together with some illustrative examples. 2010 MSC: 94B05, 94B15, 11T71
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تاریخ انتشار 2014