Title of article :
ON GRAY IMAGES OF CONSTACYCLIC CODES OVER THE FINITE RING F2 + u1F2 + u2F2
Author/Authors :
OZKAN, MUSTAFA Department of Mathematics - Trakya University - Edirne, Turkey , DERTLI, ABDULLAH Department of Mathematics - Ondokuz Mayis University - Samsun, Turkey , CENGELLENMIS, YASEMIN Department of Mathematics - Trakya University - Edirne, Turkey
Abstract :
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.
Keywords :
Constacylic code , Gray image
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
