仿射Grassmann码及其对偶码的高权重
Higher Weights of Affine Grassmann Codes and Their Duals
摘要：
本文研究了仿射Grassmann码的高权重或广义Hamming权重的确定问题及其性质。明确地确定了任意水平的仿射格拉斯曼码的几个初始以及终端较高的重量。在这类码中的任意一个的情况下，我们给出了许多初始和终端更高权重的公式。作为一种特殊情况，我们得到了Beelen等人关于仿射Grasmann码的对偶码的最小距离公式的另一种更简单的证明。
英文摘要：
We consider the question of determining the higher weights or the generalized Hamming weights of affine Grassmann codes and their duals. Several initial as well as terminal higher weights of affine Grassmann codes of an arbitrary level are determined explicitly. In the case of duals of these codes, we give a formula for many initial as well as terminal higher weights. As a special case, we obtain an alternative simpler proof of the formula of Beelen et al for the minimum distance of the dual of an affine Grasmann code.
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