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Erschienen in: EURASIP Journal on Wireless Communications and Networking 1/2008

Open Access 01.12.2008 | Research Article

MacWilliams Identity for Codes with the Rank Metric

verfasst von: Maximilien Gadouleau, Zhiyuan Yan

Erschienen in: EURASIP Journal on Wireless Communications and Networking | Ausgabe 1/2008

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Abstract

The MacWilliams identity, which relates the weight distribution of a code to the weight distribution of its dual code, is useful in determining the weight distribution of codes. In this paper, we derive the MacWilliams identity for linear codes with the rank metric, and our identity has a different form than that by Delsarte. Using our MacWilliams identity, we also derive related identities for rank metric codes. These identities parallel the binomial and power moment identities derived for codes with the Hamming metric.

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Open AccessThis article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://​creativecommons.​org/​licenses/​by/​2.​0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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Metadaten
Titel
MacWilliams Identity for Codes with the Rank Metric
verfasst von
Maximilien Gadouleau
Zhiyuan Yan
Publikationsdatum
01.12.2008
Verlag
Springer International Publishing
DOI
https://doi.org/10.1155/2008/754021

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