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The matroid of supports of a linear code

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Publication:677565
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DOI10.1007/s002000050060zbMath0869.94030OpenAlexW1999804635MaRDI QIDQ677565

Alexander Barg

Publication date: 26 August 1997

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002000050060


zbMATH Keywords

linear codesmatroidTutte polynomialsupport weight distributions


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of matroids and geometric lattices (05B35)


Related Items (8)

Higher support matroids ⋮ Generalized weights of codes over rings and invariants of monomial ideals ⋮ Constructing rate \(1/p\) systematic binary quasi-cyclic codes based on the matroid theory ⋮ Dual complementary polynomials of graphs and combinatorial-geometric interpretation on the values of Tutte polynomial at positive integers ⋮ Codes with the rank metric and matroids ⋮ Theory of supports for linear codes endowed with the sum-rank metric ⋮ Demi-matroids from codes over finite Frobenius rings ⋮ Extensions of the critical theorem




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