Extensions of the critical theorem

DOI10.1016/j.disc.2005.10.002zbMath1092.94029OpenAlexW1966250211MaRDI QIDQ2581403

Thomas Britz

Publication date: 10 January 2006

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

Full work available at URL: https://doi.org/10.1016/j.disc.2005.10.002

zbMATH Keywords

Hilbert algebrasOrdered setsBrouwerian semilatticesIrreducible elements

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (9)

Higher support matroids ⋮ On critical exponents of Dowling matroids ⋮ Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices ⋮ The Projectivization Matroid of a \(\boldsymbol{q}\) -Matroid ⋮ Critical problem for a \(q\)-analogue of polymatroids ⋮ A MacWilliams type identity for matroids ⋮ Critical problem for codes over finite chain rings ⋮ Demi-matroids from codes over finite Frobenius rings ⋮ Rank-metric lattices

Cites Work

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• The matroid of supports of a linear code
• On the MacWilliams identities for linear codes
• Support weight distribution of linear codes
• The weight enumerator of linear codes over \(\mathrm{GF}(q^m)\) having generator matrix over \(\mathrm{GF}(q)\)
• MacWilliams identities and matroid polynomials
• Series and parallel reductions for the Tutte polynomial
• Chain polynomials and Tutte polynomials
• Mac Williams identities and coordinate partitions
• Covering radii are not matroid invariants
• Characteristic polynomials of subspace arrangements and finite fields
• Higher support matroids
• Strong Tutte Functions of Matroids and Graphs
• The MacWilliams Identities for Nonlinear Codes
• Weight Enumeration and the Geometry of Linear Codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Minimal vectors in linear codes
• Matrices over a Finite Field
• Lectures on matroids

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