10-10【符方伟】五教5206吴文俊数学重点实验室组合图论系列讲座之172

发布者:卢珊珊发布时间:2021-10-09浏览次数:11



报告题目:Some New Constructions of MDS Euclidean Self-Dual Codes


报告人:符方伟,南开大学


时间: 10月10号下午2:30-3:30,地点:5206


摘要:In this talk, we consider the problem for which lengths an MDS Euclidean self-dual code over Fq exists. This problem is completely solved for the case where q is even. For q is odd, some q-ary MDS Euclidean self-dual codes were obtained in the literature. We construct some new classes of q-ary MDS Euclidean self-dual codes by using generalized Reed-Solomon (GRS for short) codes and extended GRS codes. Finally, we talk some recent progress and future research problems on this topic.