MacWilliams Identity for Codes with the Rank Metric
© M. Gadouleau and Z. Yan. 2008
Received: 10 November 2007
Accepted: 3 March 2008
Published: 13 March 2008
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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