- 2020 - 2024 代数学を用いた暗号、符号、擬似乱数のための離散数学研究
- 2015 - 2020 Application of algebra to cryptography, error correcting sequences and pseudo-random number generators
- 2015 - 2018 Higher order hyper uniform point sets and higher order quasi-Monte Carlo method
- 2012 - 2016 New figure of merits for quasi-Monte Carlo point set
- 2011 - 2016 New developments in number theoretic geometry, topology, and algorithm
- 2011 - 2015 Discrete mathematics for cryptography, code and pseudo random number generator
- 2009 - 2011 High performance random number generator for new generation
- 2008 - 2010 Discrete mathematics for coding theory and cryptography
- 2007 - 2010 New developments in number theory and geometry : arithmetic topology, categorical arithmetic geometry, algorithm
- 2006 - 2008 高性能線形擬似乱数の開発と非線形化、暗号耐性化の研究
- 2006 - 2007 情報セキュリティのための離散数学研究
- 2002 - 2004 乱数性の高い共有鍵更新方法を用いた暗号システムの構成
- 2002 - 2004 並列分散モンテカルロ法と疑似乱数
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