In this paper, we initiate the study of constant dimension subspace codes restricted to Schubert varieties, which we call Schubert subspace codes. These codes have a very natural geometric description, as objects that we call intersecting sets with respect to a fixed subspace. We provide a geometric construction of maximum size constant dimension subspace codes in some Schubert varieties with the largest possible value for the minimum subspace distance. Finally, we generalize the problem to different values of the minimum distance.

翻译：本文首次研究了限制在舒尔伯特簇上的常维数子空间码，我们称之为舒尔伯特子空间码。这类编码具有非常自然的几何描述，即我们称为关于固定子空间的相交集的对象。我们为某些具有最大可能最小子空间距离值的舒尔伯特簇中的最大规模常维数子空间码提供了几何构造。最后，我们将该问题推广到不同最小距离值的情形。