ON A CLASS OF CONSTACYCLIC CODES OVER THE RING Z4[u]/

ON A CLASS OF CONSTACYCLIC CODES OVER THE RING Z4[u]/<u2−3>

D. Thoudam, O. Ratnabala Devi

[PDF]

Abstract

In this paper, λ-constacyclic codes and skew-λ-constacyclic codes over the ring R = Z4[u] < u2 − 3 > are studied for λ = 3 and 2 + 3u. Introducing new Gray maps from R to the copies of Z4, we observed that Gray images of λ-constacyclic codes over R are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4. λ- constacyclic codes of odd length over R and generating polynomial of the Gray images are studied. Further, it is observed that the images of skew-λ- constacyclic codes over R are cyclic, quasi-cyclic and permutation equivalent to quasi-cyclic codes over Z4.

Keywords

Cyclic codes, Constacyclic codes, Gray maps, Skew-constacyclic codes