\(q\)-polymatroids and their relation to rank-metric codes

DOI10.1007/s10801-022-01129-yOpenAlexW3154643878MaRDI QIDQ2082523

Heide Gluesing-Luerssen, Benjamin Jany

Publication date: 4 October 2022

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.06570

zbMATH Keywords

representabilityrank-metric codes\(q\)-matroids\(q\)-polymatroids

Mathematics Subject Classification ID

Other types of codes (94B60) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (6)

Weighted subspace designs from \(q\)-polymatroids ⋮ Some matroids related to sum-rank metric codes ⋮ The Projectivization Matroid of a \(\boldsymbol{q}\) -Matroid ⋮ Coproducts in categories of \(q\)-matroids ⋮ The direct sum of \(q\)-matroids ⋮ Critical problem for a \(q\)-analogue of polymatroids

Cites Work

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• Maximum-rank array codes and their application to crisscross error correction

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