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MacWilliams Identity for Codes with the Rank Metric

Gadouleau, Maximilien; Yan, Zhiyuan

MacWilliams Identity for Codes with the Rank Metric Thumbnail


Zhiyuan Yan


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.


Gadouleau, M., & Yan, Z. (2008). MacWilliams Identity for Codes with the Rank Metric. EURASIP Journal on Wireless Communications and Networking, 2008, Article 754021.

Journal Article Type Article
Acceptance Date Mar 3, 2008
Publication Date Mar 13, 2008
Deposit Date Jan 13, 2012
Publicly Available Date Oct 29, 2015
Journal EURASIP journal on wireless communications and networking.
Print ISSN 1687-1472
Publisher SpringerOpen
Peer Reviewed Peer Reviewed
Volume 2008
Article Number 754021


Published Journal Article (644 Kb)

Publisher Licence URL

Copyright Statement
© 2008 The Author(s). This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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