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Durham University

Computer Science

Profile

Publication details for Dr Maximilien Gadouleau

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

Author(s) from Durham

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.

Notes

Special issue: Advances in Error Control Coding Techniques