报告题目:Type IV Codes over non unitary rings
报 告 人:Patrick Sole教授(法国马赛大学)
报告时间:2020年12月22号(周二)下午16:00-18:00
报告地点:腾讯会议 ID:883 311 940
报告摘要:There are exactly 11 rings of order 4; four of which are unital by Rhagavandran(1969). Among the remaining seven we select three as alphabets for our codes: E,I,H. We study quasi self-dual codes and Type IV codes over these rings, two specialkinds of self-orthogonal codes. E is non-commutative and local, and leads to invarianttheory of weight enumerators. It is commutative local and leads to a massformula. H is commutative semi-local and allows classification under permutationequivalence. The build up construction is studied over E,I, and H. Joint workswith Adel Alahmadi, Amani Alkhatiry, Alaa Altassan, Widyan Bassafar, Alexis Bonnecaze,Hatoon Shoaib.
欢迎各位老师、同学届时前往!
数学科学学院
2020年12月22日
报告人简介:Patrick Sole教授是国际著名的代数编码顶级专家,是有限环上编码理论的开拓者与奠基人之一,研究领域包括代数组合、代数图论、代数编码、离散数学、格的构造、模形式等等。目前已在国际著名期刊 Transactions of the American Mathematical Society,IEEE Transaction on Information Theory, Journal of Combinatorial Theory Series A,Journal of Combinatorial Theory Series B, Bulletin of the American Mathematical Society, Journal of Algebra 等发表180余篇专业学术论文,在国际学术会议上发表论文70余篇,出版学术专著6本。