关于q元Alternant码的最小距离

On the Minimum Distance of Alternant Codes over GF(q)

本文给出了ｑ元Ａｌｔｅｒｎａｎｔ码的最小距离一个新的下界，改进了以往有关结果。此外，本文将指出，文献［１］关于Ａｌｔｅｒｎａｎｔ码的最小距离的结果，一般是不成立的。

In this paper, a new lower bound is given for the minimum distance of Alternant codes over GF(q) , which improves all related results before. Moreover, it is pointed out that the result given in reference for minimum distance of Alternant codes is generally untenable.