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### 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}+v_{1}F_{p}+v_{2}F_{p}+v_{3}F_{p}+v_{4}F_{p}+v_{1} v_{2 }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 6

*n*. The generators of such constacyclic codes for an arbitrary length are determined and their dual codes are also discussed. Finally some examples are given.