Skew-constacyclic codes over F_q[v]/〈 v^q-v 〉

02/27/2019

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by   Joël Kabore, et al.

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University of Victoria

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In this paper, the investigation on the algebraic structure of the ring F_q[v]/〈 v^q-v 〉 and the description of its automorphism group, enable to study the algebraic structure of codes and their dual over this ring. We explore the algebraic structure of skew-constacyclic codes, by using a linear Gray map and we determine their generator polynomials. Necessary and sufficient conditions for the existence of self-dual skew cyclic and self-dual skew negacyclic codes over F_q[v]/〈 v^q-v 〉 are given.