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- W94922150 abstract "We consider linear codes over some fixed finite field extension over an arbitrary finite field. Gabidulin introduced the rank weight for such codes, associating a matrix to a codeword and studied basic properties of these so-called rank metric codes, in analogy with codes endowed with the classical Hamming distance. Inspired by the characterization of wiretap II codes in terms of generalized Hamming weights by Wei, Kurihara textit{et al.} defined some generalized rank weights and showed their interest in secure network coding. In this paper, we derive a statement for generalized rank weights of the dual code, completely analogous to Wei's one for generalized Hamming weights. We then establish a Griesmer bound for these generalized rank weights and discuss the equality case." @default.
- W94922150 created "2016-06-24" @default.
- W94922150 creator A5078643764 @default.
- W94922150 date "2013-06-17" @default.
- W94922150 modified "2023-09-27" @default.
- W94922150 title "Generalized rank weights : duality and Griesmer bound." @default.
- W94922150 hasPublicationYear "2013" @default.
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