English

Notes on the Sum-Rank Weight of a Matrix with Restricted Rank

Information Theory 2023-11-20 v1 Discrete Mathematics math.IT

Abstract

These notes cover a few calculations regarding the sum-rank weight of a matrix in relation to its rank. In particular, a formula and lower bounds are given on the probability that a matrix of rank tt consisting of \ell blocks has sum-rank weight t\ell t.

Keywords

Cite

@article{arxiv.2311.10159,
  title  = {Notes on the Sum-Rank Weight of a Matrix with Restricted Rank},
  author = {Hugo Sauerbier Couvée and Hedongliang Liu},
  journal= {arXiv preprint arXiv:2311.10159},
  year   = {2023}
}