- 2020 - 2025 マトロイドの臨界問題の新展開と解決への複合的アプローチ
- 2015 - 2020 Combinatorial designs and their optimalitiy related to Codes, spherical designs and grouptesting
- 2015 - 2019 Construction of post quantum cryptography systems by p-adic analysis
- 2012 - 2016 Quantum fading channel and its information carrying limit, coding-decoding, and modulation
- 2012 - 2015 Complexity structure analysis on the orbits of solutions of nonlinear partial differential equations by p-adic analysis
- 2012 - 2015 Study of simple groups by subgroups structures and associated combinatrial structures
- 2010 - 2015 Combinatorial codes and their decoding algorithms related to various information transmission systems
- 2011 - 2014 Some problems in combinatorial theory and quantum information theory based on algebraic coding theory
- 2009 - 2011 Complexity analysis on orbits of solutions of nonlinear partial differential equations
- 2008 - 2010 Manifold research on algebraic coding theory
- 2008 - 2010 量子ジャンプによる誤りを考慮した量子符号の組合せ論的構成法
- 2005 - 2007 代数的符号理論における符号の一般化重みとその応用に関する研究
- 2005 - 2006 Nonlinear analysis on Innovation of stochastic processes and random fields
- 2002 - 2004 代数的符号理論における符号の一般化最小重みに関する研究
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