Reversible cyclic codes over F_q + u F_q

10/15/2019
by   Om Prakash, et al.
0

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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset