ar X iv : 1 30 7 . 17 46 v 1 [ cs . I T ] 6 J ul 2 01 3 Generalized Quasi - Cyclic Codes Over F q + u F q
نویسندگان
چکیده
Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring Fq + uFq, where u 2 = 0, q = p, n a positive integer and p a prime number, are investigated. By the Chinese Remainder Theorem, structural properties and the decomposition of GQC codes are given. For 1-generator GQC codes, minimal generating sets and lower bounds on the minimum distance are given. As a special class of GQC codes, quasi-cyclic (QC) codes over Fq + uFq are also discussed briefly in this paper.
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متن کاملGeneralized Quasi-Cyclic Codes Over $\mathbb{F}_q+u\mathbb{F}_q$
Generalized quasi-cyclic (GQC) codes with arbitrary lengths over the ring Fq + uFq, where u 2 = 0, q = p, n a positive integer and p a prime number, are investigated. By the Chinese Remainder Theorem, structural properties and the decomposition of GQC codes are given. For 1-generator GQC codes, minimal generating sets and lower bounds on the minimum distance are given. As a special class of GQC...
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