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I am a Research Fellow at the Division of Mathematical Sciences, School of Physical and Mathematical Sciences at Nanyang Technological University, Singapore.

I completed my Ph.D. in Coding Theory under the direction of Prof. Alexander Barg from the Department of Electrical & Computer Engineering at the University of Maryland, College Park.

Research

My research interests include Coding Theory, Combinatorics, Information Theory, and Wireless Communications. In my research I have primarily focused on extremal problems in coding theory, using ideas from various areas of applied mathematics to derive new properties and estimates of the size of codes in finite metric spaces. My areas of expertise include coding theory, algebraic combinatorics (association schemes), orthogonal polynomials, and optimization.



Thesis: Bounds on the size of codes (pdf)

Note: It has come to our notice that the problem in Chapter 6 was solved in G. Katona, "Intersection theorems for systems of finite sets", Acta Math. Acad. Sci. Hungar., 15 (1964), 329-337.
We believe that the new techniques introduced in Chapter 6 are still interesting from the viewpoint of algebraic combinatorics, in light of the way the intertwining functions are used. See the "Concluding Remarks" at the end of Chapter 6.



Publications and preprints