Reversible cyclic codes over F_q + u F_q

10/15/2019

∙

by   Om Prakash, et al.

∙

0

∙

share

Let q be a power of a prime p. In this paper, we study reversible cyclic codes of arbitrary length over the ring R = F_q + u F_q, where u^2=0 mod q. First, we find a unique set of generators for cyclic codes over R, followed by a classification of reversible cyclic codes with respect to their generators. Also, under certain conditions, it is shown that dual of reversible cyclic code is reversible over Z_2+uZ_2. Further, to show the importance of these results, some examples of reversible cyclic codes are provided.