期刊论文详细信息
Journal of Algebra Combinatorics Discrete Structures and Applications | |
Cyclic and constacyclic codes over a non-chain ring | |
article | |
Aysegul Bayram1  Irfan Siap1  | |
[1] Yildiz Technical University, Faculty of Arts and Science, Department of Mathematics | |
关键词: Non-chain rings; Linear codes; Cyclic codes; Constacycllic codes; MacWilliams type identity; | |
DOI : 10.13069/jacodesmath.31486 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: Yildiz Technical University | |
【 摘 要 】
In this study, we consider linear and especially cyclic codes over the non-chain ring Zp[v]/hvp − viwhere 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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO202105240003969ZK.pdf | 580KB | download |