ISSN 0253-2778

CN 34-1054/N

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Negacyclic codes of arbitrary lengths over ring Fq+uFq+u2Fq

  • According to the structure of negacyclic codes over ring Fq+uFq, the negacyclic codes of arbitrary lengths over ring Fq+uFq+u2Fq were studied. Bying ring homomorphism, the structure of negacyclic codes over ring Fq+uFq+u2Fq of length n were given, the dual codes of these negacyclic codes were studied, and the self-dual negacyclic codes over the ring were also studied. The results show that self-dual negacyclic codes over ring Fq+uFq+u2Fq exist if and only if p=2.
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