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Weighted Subspace Designs from $q$-Polymatroids

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 نشر من قبل Eimear Byrne
 تاريخ النشر 2021
  مجال البحث
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The Assmus-Mattson theorem gives a way to identify block designs arising from codes. This result was broadened to matroids and weighted designs. In this work we present a further two-fold generalisation: first from matroids to polymatroids and also from sets to vector spaces. To achieve this, we introduce the characteristic polynomial of a $q$-polymatroid and outline several of its properties.



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