报告时间:2024年4月17日(星期一)16:00-17:00
报告地点:翡翠科教楼B1710
报告人:Patrick Solé 教授
工作单位:爱克斯马赛大学
举办单位:304永利登录入口
报告简介:
Hadamard codes over finite rings are explored wrt their covering radius for the chinese euclidean distance. Generalized bent sequences, when they exist, provide a lower bound. Upper bounds are obtained by considering a spherical code attached to Hadamard matrices of Butson type. Under mild hypotheses, this code is spherical 2-design, which yields upper bound on its covering radius on the sphere. This bound, in turn, gives an upper bound on the covering radius of the Hadamard codes.
报告人简介:
Patrick Solé,法国爱克斯马赛大学教授,国际著名的代数编码与密码学专家,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、模形式等方面,发表SCI期刊论文200余篇,发表国际学术会议论文80余篇,出版英文学术专著5本。