庄卓俊博士报告

来源:信息科学与技术学院  作者:代彬  日期:2019-12-02  点击数:255

报告题目(Title):     An Introduction to Relative Generalized Hamming Weight

报告专家(Speaker):庄卓俊

报告时间(Time):    2019年12月8日(周日)下午2:00-3:00

报告地点(Venue):  国际合作中心(一食堂背面)2楼主会议室

主持人(Chair):         代彬


内容提要: 

Coding Theory originated with the 1948 publication of the paper “A mathematical theory of communication” by Claude Shannon. For the past 70 years, coding theory, in a close relation with information theory, has grown into a discipline intersecting mathematics and engineering with applications to almost every area of communications. Linear block codes are of great interest in coding theory because they are easy to encode and decode. One desires to maximize the size of a code for given length and minimum distance. Upper and lower bounds on the size as well as constructions of codes meeting these bounds were investigated. In 1991, Victor Wei introduced the generalized Hamming weight (GHW) in his study of wire-tap channel of type II. This notion generalizes the concept of minimum distances, or equivalently minimum weights, of linear codes. GHW was found applications in trellis structure of codes, linear network coding, etc. In 2005, Yuan Luo et al. extended wire-tap channel of type II by considering a more powerful adversary and introduced the relative generalized Hamming weight (RGHW) of a linear code and one of its linear subcodes. RGHW is a kind of two-code extension of GHW and has many interesting properties similar to GHW. For the past decade, RGHW has been found applications in network coding, linear ramp secret sharing, trellis complexity, etc.

In this lecture, we shall revisit basic concepts of coding theory, and give an brief introduction of GHW and RGHW. We shall also introduce some recent research results on RGHW.


报告人简介:


庄卓俊,博士,中科院上海研究所高级工程师。庄博士持续开展了基于第二类窃听信道的编码研究,目前已在编码理论的核心期刊上发表论文数十篇。主持省部级科研项目多项。