Combinatorial methods in network security and communication codes

这个项目是我之前由NSERC发现基金支持的研究工作的继续。在这个项目中，我们将把组合数学应用于计算机网络和通信中的几个重要研究课题。我们将为无线传感器网络提供一些新的安全方案，如军事传感器网络，检测和表征化学、生物、辐射、核和爆炸攻击和材料的传感器网络，检测和监测平原、森林、海洋等环境变化的传感器网络，并提出更有效的传感器网络调度方法，以延长传感器网络的生命周期，增加其可靠性。在通信方面，我们将给出新的光正交码的构造，它将提供更好的通信性能，并支持光网络中的大量并发用户。这一提议的一个显著特点是，组合方法是接近目的地的主要工具。这项建议致力于通过研究网络安全和通信代码领域的重要课题，并通过培训这一领域的高素质年轻研究人员，来促进网络安全和通信代码的组合方法。人们还期待着新的理论和高效的协议被发明来解决这些领域中的重要问题。组合数学的理论也得到了进一步发展。

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.