On Extremal Maximal Self-orthogonal Codes of Type I-iv
نویسندگان
چکیده
For a Type T ∈ {I, II, III, IV} and length N where there exists no self-dual Type T code of length N , upper bounds on the minimum weight of the dual code of a self-orthogonal Type T code of length N are given, allowing the notion of dual extremal codes. It is proven that the Hamming weight enumerator of a dual extremal maximal self-orthogonal code of a given length is unique.
منابع مشابه
Some Results on Type IV Codes Over
Dougherty, Gaborit, Harada, Munemasa, and Solé have previously given an upper bound on the minimum Lee weight of a Type IV self-dual -code, using a similar bound for the minimum distance of binary doubly even self-dual codes. We improve their bound, finding that the minimum Lee weight of a Type IV self-dual -code of length is at most 4 12 , except when = 4, and = 8 when the bound is 4, and = 16...
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