On Constacyclic Codes over F_p+v_1 F_p+v_2 F_p+v_3 F_p+v_4 F_p+v_1 v_2 F_p

Abstract

We study the structure of ω-constacyclic codes over the ring R =  F_p+v₁F_p+v₂F_p+v₃F_p+v₄F_p+v₁ v₂ F_. A Gray map is introduced and it is shown that the image of ω-constacyclic codes of length n  are (1,2,2,2,2,4) multi-twisted codes of length 6n. The generators of such constacyclic codes for an arbitrary length are determined and their dual codes are also discussed. Finally some examples are given.