Recently, the author has constructed families of MDS Euclidean self-dual codes from genus zero algebraic geometry (AG) codes. In the present correspondence, more families of optimal Euclidean self-dual codes from AG codes are explored. New families of MDS Euclidean self-dual codes of odd characteristic and those of almost MDS Euclidean self-dual codes are constructed explicitly from genus zero and genus one curves, respectively. More families of Euclidean self-dual codes are constructed from algebraic curves of higher genus.

中文翻译：

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新的自我对偶密码系列

最近，作者从零代数几何（AG）类构建了MDS欧几里得自对码。在当前的对应关系中，从AG码中探索了更多的最优欧几里德自对偶码族。分别从零属和一属曲线分别显式构造了具有奇数特征的MDS欧几里得自对偶码和几乎MDS欧几里得自对偶码的新家族。从更高属的代数曲线构造更多的欧几里德自对偶代码家族。