Published December 17, 2015
| Version v1
Journal article
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Cyclic codes over F2 + uF2 + vF2 + uvF2 + u2F2 + v2F2 + u2v2F2
Authors/Creators
- 1. Department of Mathematics, Al-Aqsa University, 4051, Gaza, Palestine
Description
In this paper, we study the structure of cyclic codes of length n over the ring F2 +uF2 +vF2 +uvF2 +u2F2 +v2F2 +u2v2F2. 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 F2 + uF2 + vF2 +uvF2 + u2F2 + v2F2 + u2v2F2 are also studied.