次世代暗号に向けたセキュリティ危殆化回避数理モデリング

Research Objectives:
Modeling of Mathematical Objects
and Resulting Mappings

Member List
Keisuke Tanaka Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP
Masaaki Umehara Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP
Sadayoshi Kojima Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP
Yuji Terashima Associate Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology  
Shinya Nishibata Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP
Hideyuki Miura Associate Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology  
Kirill Morozov Adjunct Associate Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP
Masahiro Ishii Adjunct Assistant Professor, Graduate School of Information Science and Engineering, Tokyo Institute of Technology HP

Outline of Research

We mainly study the following two themes on the theory of cryptography. The first one is to investigate mathematical objects, which can be used in concrete constructions for important cryptographic primitives such as public-key encryption, digital signature, or trapdoor one-way function. Especially, we focus on those which also appear in advanced topics of mathematics but not so far in the field of cryptography. The second one is to study reductions which are typically used in the security proofs in many cryptographic schemes. In particular, in order to develop their techniques applicable to the real world, we focus on those which originally come from advanced studies in mathematics.