Alternatives for the \(q\)-matroid axioms of independent spaces, bases, and spanning spaces

DOI10.1016/j.aam.2023.102632arXiv2207.07324OpenAlexW4387936392MaRDI QIDQ6184906

Relinde P. M. J. Jurrius, Michela Ceria

Publication date: 29 January 2024

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.07324

zbMATH Keywords

subspace designHamming metric

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial codes (94B25)

Cites Work

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• Network coding and subspace designs
• Defining the \(q\)-analogue of a matroid
• Codes with the rank metric and matroids
• Constructions of new \(q\)-cryptomorphisms
• Rank-metric codes and \(q\)-polymatroids
• Constructions of new matroids and designs over \(\mathbb{F}_q\)

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