We study the generalized rank weight distribution of a linear code. First, we provide a MacWilliams-type identity which relates the distributions of a code and its dual. Then, we give a formula for the enumerator polynomial. Finally, we explicitly compute the distribution of an MRD code.

翻译：本文研究线性码的广义秩重分布。首先，我们建立了MacWilliams型恒等式，该等式关联了码与其对偶码的分布。随后，我们给出了枚举多项式的计算公式。最后，我们显式地计算了最大秩距离码的分布。