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.
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