论文标题
从广义芦苇固体代码中构建MDS自偶代码
Construction of MDS self-dual codes from generalized Reed-Solomon codes
论文作者
论文摘要
MDS代码和自偶代码是编码理论中经典代码的重要系列。调查MDS自动偶数代码很感兴趣。有限字段$ f_q $的MDS自偶代码的存在完全解决了$ Q $。在本文中，对于具有奇数特征的有限字段，我们通过（扩展）广义的芦苇 - 固体代码构建了一些新的MDS自偶代码。
MDS codes and self-dual codes are important families of classical codes in coding theory. It is of interest to investigate MDS self-dual codes. The existence of MDS self-dual codes over finite field $F_q$ is completely solved for $q$ is even. In this paper, for finite field with odd characteristic, we construct some new classes of MDS self-dual codes by (extended) generalized Reed-Solomon codes.
