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A Z 2-triple cyclic code of block length (r, s,t) is a binary code of length r + s + t such that the code is partitioned into three parts of lengths r, s and t such that each of the three parts is invariant under the cyclic shifts of the coordinates. Such a code can be viewed as Z 2 [x]-submodules of Z 2 [x] x r −1 × Z 2 [x] x s −1 × Z 2 [x] x t −1 , in… (More)

In this paper, we study the structure of 1-generator quasi-cyclic codes over the ring R = F 2 + uF 2 + vF 2 + uvF 2 , with u 2 = v 2 = 0 and uv = vu. We determine the minimal spanning sets for these codes. As a generalization of these codes, we also investigate the structure of 1-generator generalized quasi-cyclic codes over R and determine a BCH type bound… (More)

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