Publication details for Dr Maximilien GadouleauGadouleau, Maximilien & Yan, Zhiyuan (2008). MacWilliams Identity for Codes with the Rank Metric. EURASIP Journal on Wireless Communications and Networking 2008: 754021.
- Publication type: Journal Article
- ISSN/ISBN: 1687-1499
- DOI: 10.1155/2008/754021
- Further publication details on publisher web site
- Durham Research Online (DRO) - may include full text
Author(s) from Durham
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.
Special issue: Advances in Error Control Coding Techniques