On Gray Images of Constacyclic Codes Over the Finite Ring (Formual Presented)

Abstract

We introduce the finite ring (Formual presented) which is not a finite chain ring. We focus on (1 + u2)-constacyclic codes over (Formual presented) of odd length. We prove that the Gray image of a linear (1 + u2)-constacyclic code over (Formual presented) of odd length n is a quasi-cyclic code of index 4 and length 4n over F2. © Işik University, Department of Mathematics, 2019; all rights reserved.