$q$ -多拟阵的加权子空间设计
Weighted Subspace Designs from $q$-Polymatroids
摘要：
Assmus-Mattson定理给出了一种识别由代码引起的区组设计的方法。这个结果被扩大到拟阵和加权设计。在这项工作中，我们提出了一个进一步的双重推广：首先从拟阵到polymatroids，也从集向量空间。为了实现这一点，我们介绍了一个$q$ -polymatroid的特征多项式，并概述了它的几个属性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
