We prove that if two linear codes are equivalent then they are semi-linearly equivalent. We also prove that if two additive MDS codes over a field are equivalent then they are additively equivalent.

翻译：我们证明,如果两个线性代码是等效的,那么它们是半线性等效的。 我们还证明,如果一个字段的两种添加型MDS代码是等效的,那么它们就是累性等效的。