Hamoda, Mohammad and Nagi, Abd Elkarim (2015) Cyclic Codes Over F_2+uF_2+vF_2+uvF_2+u^2F_2+v^2F_2+u^2v^2F_2. Journal of Progressive Research in Mathematics(JPRM), 6 (1). pp. 734-740. ISSN ISSN: 2395-0218
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Abstract
In this paper, we study the structure of cyclic codes of length n over the ring F_2+uF_2+vF_2+uvF_2+u^2F_2+v^2F_2+u^2v^2F_2. We characterize a set of generators for each cyclic code. We study the rank for these codes, and we find their minimal spanning sets. Lee weights and Gray maps for these codes over F_2+uF_2+vF_2+uvF_2+u^2F_2+v^2F_2+u^2v^2F_2 are also studied.
| Item Type: | Article |
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| Uncontrolled Keywords: | Cyclic codes; Codes over rings; Gray map; Lee weight. |
| Subjects: | Q Science > QA Mathematics |
| Depositing User: | د. محمد العبد محمد حمودة |
| Date Deposited: | 10 May 2018 07:10 |
| Last Modified: | 10 May 2018 07:10 |
| URI: | http://scholar.alaqsa.edu.ps/id/eprint/740 |
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