报告题目:Recent Progress on Multilevel Diversity Coding
报告人:郭涛,东南大学网络空间安全学院副教授
邀请人:唐小虎 教授
报告时间:2025年9月17日下午14:30
报告地点:犀浦校区X9428
摘要:Multilevel diversity coding is a classical coding model where multiple mutually independent information messages are encoded, such that different reliability requirements can be afforded to different messages. It is well known that superposition coding, namely separately encoding the independent messages, is optimal for symmetric multilevel diversity coding (SMDC). However, the existing characterization of the coding rate region involves uncountably many linear inequalities. In this talk, we obtain in closed form a finite set of linear inequalities for characterizing the coding rate region. We further show by the symmetry of the problem that only a much smaller subset of this finite set of inequalities needs to be verified in determining the achievability of a given rate tuple. The secure settings of SMDC are further considered, and the optimality conditions for superposition coding and its relation with secret sharing are characterized.

作者简介:郭涛,东南大学网络空间安全学院副教授。分别于2013年、2018年获西安电子科技大学学士学位、香港中文大学博士学位。曾在慕尼黑工业大学、德州农工大学、加州大学洛杉矶分校、华为香港研究所从事研究工作。研究兴趣主要是信息论、信息安全与隐私保护相关领域,在IEEE TIT,TIFS等信息论顶级期刊、会议上发表论文30余篇。曾获得江苏省网络空间安全学会青年科技奖、中国电子学会信息论分会学术激励计划、江苏省双创博士等,以及国家自然科学基金、教育部海外引才专项、东南大学至善基金(A类)等基金支持。