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Cyclic codes over the ring [formula omitted].
- Source :
-
Finite Fields & Their Applications . Jul2015, Vol. 34, p161-175. 15p. - Publication Year :
- 2015
-
Abstract
- Let p be a prime number. In this paper, we study cyclic codes over the ring Z p [ u , v ] / 〈 u 2 , v 2 , u v − v u 〉 . We find a unique set of generators for these codes. We also study the rank and the Hamming distance of these codes. We obtain all except one ternary optimal code of length 12 as the Gray image of the cyclic codes over the ring Z p [ u , v ] / 〈 u 2 , v 2 , u v − v u 〉 . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10715797
- Volume :
- 34
- Database :
- Academic Search Index
- Journal :
- Finite Fields & Their Applications
- Publication Type :
- Academic Journal
- Accession number :
- 102036905
- Full Text :
- https://doi.org/10.1016/j.ffa.2015.01.005