The Gray Images of Skew-Constacyclic Codes over F_(p^(m)) + uF_(p^(m)) + ... + u^(e-1)F_(p^(m))
Keywords:
finite chain ring, Gray map, permutation invariant code, skew constacyclic codeAbstract
We study the Gray images of three types of skew constacyclic codes over , where
. For a given automorphism
of
induced by an automorphism
of
, the Gray images of
-
-constacyclic codes are shown to be
-permutation invariant codes whose algebraic structures are generalization of quasi-cyclic codes over finite fields. In addition, if the length of codes is not divisible by
, the Gray images of
-cyclic and
-
-constacyclic codes are permutatively equivalent to
-permutation invariant codes. Moreover, our works generalize known results concerning the Gray images of classical cyclic,
-constacyclic and
-constacyclic codes over this ring.
