MacWilliams identities for the generalized rank weights

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Julien Molina
DOI: 10.48550/arxiv.2602.10929
Cited by: 0

Abstract

We study the generalized rank weight distribution of a linear code. First, we provide a MacWilliams-type identity which relates the distributions of a code and its dual. Then, we give a formula for the enumerator polynomial. Finally, we explicitly compute the distribution of an MRD code.

Fields of Study & Subjects

Coding theory and cryptography Advanced Combinatorial Mathematics Error Correcting Code Techniques

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 February 2026
Language
EN
Document type
Preprint