Tohoku University · Graduate School of Information Science

Research keywordshypergeometric functions・Leonard systems・cross-intersection theorems・association schemes・semidefinite programming・character algebras

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• A bilinear form relating two Leonard systemsHajime Tanaka
• New upper bounds for nonbinary codes based on the Terwilliger algebra and semidefinite programmingDion Gijswijt, Alexander Schrijver, Hajime Tanaka
• Tight relative $t$-designs on two shells in hypercubes, and Hahn and Hermite polynomialsEiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu
• Design theory from the viewpoint of algebraic combinatoricsEiichi Bannai, Etsuko Bannai, Hajime Tanaka, Yan Zhu

• ターウィリガー代数に基づく符号・デザインの代数的理論田中 太初
• 非可換代数の表現によるグラフの研究の展開田中 太初
• グラフの代数的研究の展開田中 太初
• 量子確率論の展開と巨大有限系の漸近解析尾畑 伸明, 洞 彰人, 田中 太初

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