主讲人： 唐灯

主讲人工作单位：上海交通大学

时间：2020年10月17日19:00

地点：腾讯在线会议（会议号：477852969，密码：2696）

主讲人简介：唐灯，上海交通大学教授、博士生导师。2015年3月毕业于法国巴黎第八大学，获应用数学博士学位。主要研究方向为密码函数设计、对称密码分析、代数编码及其应用、分布式存储与计算。在国内外重要学术期刊和学术会议发表研究论文三十余篇，含第一或通讯作者   IEEE Transactions on Information Theory、IEEE Transactions on Information   Forensics and Security、SIAM Journal on Discrete Mathematics、Designs, Codes   and Cryptography、Cryptography and Communications 期刊论文十余篇。主持国家自然科学基金青年科学基金项目、国家自然科学基金面上项目、密码科学技术国家重点实验室开放课题、装备预研重点实验室基金项目等。先后获得IEEE成都分会2014年最佳学生论文奖、中国密码学会2019年密码算法学术会议最佳论文奖、全国密码算法设计竞赛分组密码算法三等奖。

讲座主要内容：Binary linear codes with good parameters have important applications in   secret sharing schemes, authentication codes, association schemes, and   consumer electronics and communications. In this talk, we introduce several   classes of binary linear codes from vectorial Boolean functions and determine   their parameters, by further studying a generic construction developed by   Ding et al. recently. First, by employing perfect nonlinear functions and   almost bent functions, we obtain several classes of six-weight linear codes   which contain the all-one codeword, and determine their weight distribution.   Second, we investigate a subcode of any linear code mentioned above and   consider its parameters. When the vectorial Boolean function is a perfect   nonlinear function or a Gold function in odd dimension, we can completely   determine the weight distribution of this subcode. Besides, our linear codes   have larger dimensions than the ones by Ding et al.'s generic construction.