Mathematical Modelling for Next-Generation Cryptography

The first book to focus on areas that have not yet been fully exploited for cryptographic applications, such as representation theory and mathematical physics

Contributes to a better understanding of the current state of modern cryptography Develops new advanced mathematical techniques and their applications in next-generation cryptography Presents contributions by leading international researchers in the field of cryptography, representation theory, number theory, and quantum physics, among others

Autorentext

Tsuyoshi Takagi

Professor, Kyushu University, Institute of Mathematics for Industry

Masato Wakayama

Professor, Kyushu University, Institute of Mathematics for Industry

Keisuke Tanaka

Associate Professor, Tokyo Institute of Technology, Department of Mathematical and Computing Sciences

Noboru Kunihiro

Associate Professor, The University of Tokyo, Graduate School of Frontier Sciences

Kazufumi Kimoto

Professor, University of the Ryukyus, Department of Mathematical Sciences

Dung Hoang Duong

Assistant Professor, Kyushu University, Institute of Mathematics for Industry

Inhalt

1. Algebraic Geometry.- 2. Number Theory.- 3. Theory of Computation.- 4. Quantum Computation.- 5. Quantum Field Theory.- 6. Mathematical Physics.- 7. Representation Theory.- 8. Lattice Theory.- 9. Multivariate Polynomial Theory.- 10. Data Encryption.- 11. Digital Signature.- 12. Searchable Encryption.- 13. Obfuscation.- 14. Privacy Protection.- 15. Copyright Protection.- 16. ID-Based Encryption.