TAKAGI GROUP
Project Title
Creation and development of mathematical foundations for cryptography required by the post-quantum society
Outline of Research
We will study the security and efficiency of multivariate polynomial cryptography, lattice-based cryptography, and isogeny-based cryptography, which are the main candidates for post-quantum cryptography. In particular, we will study the difficulty of the shortest vector problem (SVP), the multivariate polynomial solution (MQ) problem, and the isogeny problem, which are the basic mathematical problems that support the security of these cryptosystems. We will also consider reducing the relatively large public key size of post-quantum cryptography and speeding up the processing of cryptographic operations.
Tsuyoshi TakagiProfessor
Graduate School of Information Science and Technology, University of Tokyo
Web sitehttp://crypto.mist.i.u-tokyo.ac.jp/en/members/takagi.html
Katsuyuki TakashimaProfessor
Faculty of Education and Integrated Arts and Sciences, Waseda University
Masaya YasudaProfessor
College of Science, Rikkyo University
Yasufumi HashimotoAssociate Professor
Department of Mathematical Sciences, University of the Ryukyus
Web sitehttp://www.math.u-ryukyu.ac.jp/~hashimoto/index_e.html
Yasuhiko IkematsuAssociate Professor
Institute of Mathematics for Industry, Kyushu University
Web sitehttps://sites.google.com/site/ikematsuhp/%E3%83%9B%E3%83%BC%E3%83%A0/english
Momonari KudoResearch Associate
Faculty of Information Engineering, Fukuoka Institute of Technology
Web sitehttps://sites.google.com/view/m-kudo-official-website/english?authuser=0
Yusuke AikawaResearch Associate
Graduate School of Information Science and Technology, University of Tokyo
Hiroshi OnukiProject Research Associate
Graduate School of Information Science and Technology, University of Tokyo
Kosuke SakataProject Researcher
Graduate School of Information Science and Technology, University of Tokyo
Quan YuanProject Researcher
Graduate School of Information Science and Technology, University of Tokyo
Ryo OhashiProject Researcher
Graduate School of Information Science and Technology, University of Tokyo