In recent years, many MDS self-dual codes with new lengths have been constructed. The main method is to obtain a new structure by generalized Reed-Solomon codes. In this paper, combined with [20], our constructions take up a proportion of generally more than 57% in all the possible lengths of $q$-ary MDSself-dual codes, which is larger than the previous results.

翻译：近年来,许多带有新长度的MDDS自体双重代码已经建成,主要方法是通过通用Reed-Solomon代码获得新的结构。 在本文中,加上[20],我们的结构在所有可能长度的$-$y MDS自体代号中的比例一般超过57%,这比以往的结果要大。