[Legacy Report] Interplays among Codes, Entropies and Groups

---

In this talk, we will cover several interesting aspects of information inequalities, codes and groups. We will begin with an introduction of quasi-uniform codes and their properties. Applications of quasi-uniform codes in the area of tamper-proof communications, secret sharing and network coding will be discussed. We will also derive a linear programming bound for quasi-uniform codes. Finally, by using the LP bound, we will derive some information inequalities and group theoretic inequalities.



Biography

Terence Chan received his B.Sc (Math) and his Master's and Ph.D. degrees in Information Engineering in 1996, 1998 and 2000 respectively, all from The Chinese University of Hong Kong. In 2001, he was a visiting assistant professor in the Department of Information Engineering at the same university. From February 2002 to June 2004, he was a Post-doctoral Fellow at the Department of Electrical and Computer Engineering at the University of Toronto.

His research interests are in network coding theory, resource allocations, cross-layer network designs, wireless and optical communications, and information theory. He is currently developing a “network coding” compatible networking architecture to improve the utilization throughput of existing networks. The motivation of this work is to accommodate the fast growing demands in data transportation services due to the rapid development of content distribution businesses such as Video on Demand, peer-to-peer file sharing and E-learning. As a result of this work, end users can enjoy lower access fees and a better quality of services. To the content and service providers, a larger user population can be supported leading to an increase in revenue.

Terence received the Croucher Foundation Fellowship and Sir Edward Youde Fellowship in 2002 and 2000 respectively.

---

---

---

---