The connection between secret sharing and matroid theory is well established. In this paper, we generalize the concepts of secret sharing and matroid ports to $q$-polymatroids. Specifically, we introduce the notion of an access structure on a vector space, and consider properties related to duality, minors, and the relationship to $q$-polymatroids. Finally, we show how rank-metric codes give rise to secret sharing schemes within this framework.

翻译：秘密共享与拟阵理论之间的联系已得到充分确立。本文中，我们将秘密共享与拟阵端口的概念推广至$q$-多拟阵。具体而言，我们引入了向量空间上访问结构的概念，并考察了其对偶性、子式以及与$q$-多拟阵相关的性质。最后，我们展示了秩度量码如何在此框架下生成秘密共享方案。