Cyclic codes over $\mathbb{Z}_4+u\mathbb{Z}_4$
نویسندگان
چکیده
In this paper, we have studied cyclic codes over the ring R = Z4 +uZ4, u = 0. We have considered cyclic codes of odd lengths. A sufficient condition for a cyclic code over R to be a Z4-free module is presented. We have provided the general form of the generators of a cyclic code over R and determined a formula for the ranks of such codes. In this paper we have mainly focused on principally generated cyclic codes of odd length over R. We have determined a necessary condition and a sufficient condition for cyclic codes of odd lengths over R to be R-free.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1501.01327 شماره
صفحات -
تاریخ انتشار 2015