We extend and provide new proofs of the Wei-type duality theorems, due to Ducoat and Ravagnani, for Gabidulin–Roth rank-metric codes and for Delsarte rank-metric codes. These results follow as corollaries from fundamental Wei-type duality theorems that we prove for certain general combinatorial structures.

中文翻译：

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秩度量码的魏型对偶定理

由于 Ducoat 和 Ravagnani，我们为 Gabidulin-Roth 秩度量代码和 Delsarte 秩度量代码扩展并提供了 Wei 型对偶定理的新证明。这些结果是我们为某些一般组合结构证明的基本魏型对偶定理的推论。