Additive cyclic codes over finite commutative chain rings
نویسندگان
چکیده
Additive cyclic codes over Galois rings were investigated in [3]. In this paper, we investigate the same problem but over a more general ring family, finite commutative chain rings. When we focus on non-Galois finite commutative chain rings, we observe two different kinds of additivity. One of them is a natural generalization of the study in [3], whereas the other one has some unusual properties especially while constructing dual codes. We interpret the reasons of such properties and illustrate our results giving concrete examples.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1701.06672 شماره
صفحات -
تاریخ انتشار 2017