Journal of Jilin University Science Edition
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SONG Xianmei, CAO Yang
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Abstract: We considered skew constacyclic codes over the ring R=Fq+vFq+v2Fq, where q=pm, 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
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SONG Xianmei, CAO Yang. Skew Constacyclic Codes over Fq+vFq+v2Fq[J].Journal of Jilin University Science Edition, 2017, 55(02): 205-210.
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http://xuebao.jlu.edu.cn/lxb/EN/Y2017/V55/I02/205
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