Designs from Matroids

DOI10.1137/080728913zbMath1219.05033OpenAlexW2011323346MaRDI QIDQ3563961

Shiromoto, Keisuke, Gordon F. Royle, Thomas Britz

Publication date: 1 June 2010

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080728913

zbMATH Keywords

Assmus-Mattson theoremlinear codeMacWilliams identity\(t\)-designmatroid\(t\)-homogeneous automorphism group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (4)

Harmonic Tutte polynomials of matroids ⋮ Weighted subspace designs from \(q\)-polymatroids ⋮ Designs from subcode supports of linear codes ⋮ Wei-type duality theorems for rank metric codes

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