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Combinatorial \(S_ n\)-modules as codes

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Publication:1344190
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DOI10.1023/A:1022485624417zbMath0816.05061MaRDI QIDQ1344190

Karl-Heinz Zimmermann, Robert A. Liebler

Publication date: 28 June 1995

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


zbMATH Keywords

Specht modulesReed-Muller codeslinear codessymmetric group\(t\)-design


Mathematics Subject Classification ID

Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (5)

Polytopes of roots of type AN ⋮ Modular irreducible representations of the symmetric group as linear codes. ⋮ Minimum supports of eigenfunctions of Johnson graphs ⋮ Inclusion matrices for rainbow subsets ⋮ Minimal null designs of subspace lattices over finite fields



Cites Work

  • On the modular representations of the general linear and symmetric groups
  • The representation theory of the symmetric groups
  • A diagonal form for the incidence matrices of \(t\)-subsets vs. \(k\)- subsets
  • On the number of sets in a null t-design
  • Threshold Decoding
  • Polynomial codes
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