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Zbl 1225.94027
Meyer, Annika
On dual extremal maximal self-orthogonal codes of type I--IV. (English)
[J] Adv. Math. Commun. 4, No. 4, 579-596 (2010). ISSN 1930-5346; ISSN 1930-5338/e

Summary: For a type $T \in\{$I, II, III, IV$\}$ of codes over finite fields 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 for the notion of dual extremal codes. It is proven that for $T \in\{$II, III, IV$\}$ the Hamming weight enumerator of a dual extremal maximal self-orthogonal type-$T$ code of a given length is unique.

MSC 2000:: *94B05 General theory of linear codes
11T71 Algebraic coding theory

Keywords: linear code; self-orthogonal code; weight distribution; extremality

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Zentralblatt MATH Berlin [Germany]