Combinatorial methods in network security and communication codes

点击翻译按钮获取中文摘要

This project is a continuation of my previous research work that is supported by an NSERC Discovery Grant. In this project, we will apply combinatorial mathematics to several important research topics in computer networks and communications. We will provide some new security schemes for wireless sensor networks that have a lot of real applications, such as military sensor networks, sensor networks to detect and characterize Chemical, Biological, Radiological, Nuclear and explosive attacks and material, sensor networks to detect and monitor environmental changes in plains, forests, oceans, etc. We will also propose more efficient scheduling methods for sensor networks to prolong the lifetime of a sensor network and increase its reliability. For communications, we will give new constructions of optical orthogonal codes, which will provide better communicating performance and support large number of simultaneous users in optical networks. One of the distinctive characteristics of this proposal is that combinatorial methods are the main tools to approach the destination. This proposal is dedicated to promoting the combinatorial methods in network security and communication codes by investigating important topics in these fields and by training highly qualified young researchers in this area. It is also expected that new theories and efficient protocols are invented to solve important problems in these fields. And theories of combinatorial mathematics are further developed as well.