关键词: 斜常循环码, 对偶码, Euclid内积

Abstract: We considered skew constacyclic codes over the ring R=F_q+vF_q+v²F_q, where q=p^m, p was an odd prime and v³=v. According to the structure of the ring, we obtained the generating polynomial of skew constacyclic codes over R was the right divisor of xⁿ-λ, where λ was a unit element and proved that skew constacyclic codes were generated by the principal ideal, when λ²=1, we gave the necessary and sufficient condition for the dual code of a liner code to be skew constacyclic code, and discussed generating polynomials of the dual codes.

Key words: Euclidean inner product, skew constacyclic code, dual code