MacWilliams identities for the generalized rank weights
Information Theory
2026-02-12 v1 math.IT
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.
Keywords
Cite
@article{arxiv.2602.10929,
title = {MacWilliams identities for the generalized rank weights},
author = {Julien Molina},
journal= {arXiv preprint arXiv:2602.10929},
year = {2026}
}