Journals / Journal of Algebra Combinatorics Discrete Structures and Applications / 2014 / Cilt: 1 - Sayı: 1
Cyclic and constacyclic codes over a non-chain ring
- Pages
- 1–12
- DOI
- —
Abstract
In this study, we consider linear and especially cyclic codes over the non-chain ring Zp[v]/ vp− vwhere p is a prime. This is a generalization of the case p = 3. Further, in this work the structure ofconstacyclic codes are studied as well. This study takes advantage mainly from a Gray map whichpreserves the distance between codes over this ring and p-ary codes and moreover this map enlightensthe structure of these codes. Furthermore, a MacWilliams type identity is presented together withsome illustrative examples