Designs and representation of the symmetric group (Q1395767)

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scientific article; zbMATH DE number 1944959
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English
Designs and representation of the symmetric group
scientific article; zbMATH DE number 1944959

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    Designs and representation of the symmetric group (English)
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    1 July 2003
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    A spectral characterization ``à la Delsarte'' is given for colored designs held by codes over non-binary alphabets. The tools include association schemes and also the representation theory of the symmetric group: tableaux, Specht modules, and zonal functions.
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    symmetric group
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    association scheme
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    Specht module
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    Hahn polynomials
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    self-dual codes
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    tableaux
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