Codes with the rank metric and matroids
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Publication:1999898
DOI10.1007/s10623-018-0576-0zbMath1414.05071OpenAlexW2898687818WikidataQ129023695 ScholiaQ129023695MaRDI QIDQ1999898
Publication date: 27 June 2019
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10623-018-0576-0
Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Linear codes (general theory) (94B05) Other types of codes (94B60) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (17)
Independent spaces of \(q\)-polymatroids ⋮ Weighted subspace designs from \(q\)-polymatroids ⋮ Some matroids related to sum-rank metric codes ⋮ Rank-metric codes and \(q\)-polymatroids ⋮ Coproducts in categories of \(q\)-matroids ⋮ Weight spectra of Gabidulin rank-metric codes and Betti numbers ⋮ Partitions of matrix spaces with an application to \(q\)-rook polynomials ⋮ Alternatives for the \(q\)-matroid axioms of independent spaces, bases, and spanning spaces ⋮ The direct sum of \(q\)-matroids ⋮ Critical problem for a \(q\)-analogue of polymatroids ⋮ Rank weight hierarchy of some classes of polynomial codes ⋮ Quasi optimal anticodes: structure and invariants ⋮ A polymatroid approach to generalized weights of rank metric codes ⋮ Constructions of new \(q\)-cryptomorphisms ⋮ \(q\)-polymatroids and their relation to rank-metric codes ⋮ Wei-type duality theorems for rank metric codes ⋮ Shellability and homology of \(q\)-complexes and \(q\)-matroids
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