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


özkan m., Dertli A., Çengellenmiş Y.

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.9, no.4, pp.876-881, 2019 (Scopus, TRDizin)

Abstract

We introduce the finite ring F2 + u1F2 + u2F2, u12 = u1 , u22 = 0 , u1.u2 =u2.u1 = 0 which is not a finite chain ring. We focus on (1 + u2) -constacyclic codes overF2 + 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 index4 and length 4n over F2.