ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1F2 + u2F2

Özet

We introduce the finite ring F2 + u1F2 + u2F2, u1 2 = u1 , u2 2 = 0 , u1.u2 = u2.u1 = 0 which is not a finite chain ring. We focus on (1 + u2) -constacyclic codes over F2 + u1F2 + u2F2 of odd length. We prove that the Gray image of a linear (1 + u2) -constacyclic code over F2 + u1F2 + u2F2 of odd length n is a quasi-cyclic code of index 4 and length 4n over F2.