My research interest is in the field called ""Combinatorics"" among discrete mathematics. Combinatorics is a study to elucidate the existence and constructions of various combinatorial structures by using fundamental mathematical tools -- Design Theory, Graph Theory, Finite Geometry, Group Theory, Number Theory, etc. It is a very interesting field not only in the sense of genuine mathematical interest, but also in the sense of practical purpose. Indeed, it is closely related to application fields such as Coding Theory, Cryptography, Experimental Design, etc., and by modeling demands from those application fields as combinatorial structures, elucidation of the existence and efficient construction methods of those structures has a more significant meaning in practice.

My research theme currently working on are as follows:

• Determination of the maximum number of codewords of a conflict-avoiding code and establishment of its construction method
• Analysis of partial structures of a design in the finite geometry
• Development of SSL-compatible group encryption layer
• Development of systems, such as Internet lottery and Internet voting, etc., with cryptographic technologies

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