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Journal Articles Journal of Combinatorial Theory, Series A Year : 2024

Weighted Subspace Designs from $q$-Polymatroids

Abstract

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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Dates and versions

hal-03251251 , version 1 (06-06-2021)

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Eimear Byrne, Michela Ceria, Sorina Ionica, Relinde Jurrius. Weighted Subspace Designs from $q$-Polymatroids. Journal of Combinatorial Theory, Series A, 2024, 201. ⟨hal-03251251⟩
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