Mathematical Modelling for Next-Generation Cryptography

Tsuyoshi TakagiProfessor, Kyushu University, Institute of Mathematics for Industry Masato WakayamaProfessor, Kyushu University, Institute of Mathematics for Industry Keisuke TanakaAssociate Professor, Tokyo Institute of Technology, Department of Mathematical and Computing Sciences Noboru KunihiroAssociate Professor, The University of Tokyo, Graduate School of Frontier Sciences Kazufumi KimotoProfessor, University of the Ryukyus, Department of Mathematical Sciences Dung Hoang DuongAssistant Professor, Kyushu University, Institute of Mathematics for Industry

“The present volume is unique in that it focuses on cryptography's future. It won’t come as a surprise to anyone in this field that the future is highly mathematical. … this book is essentially a collection of research papers, and the prerequisites to understanding it are similar to that of a technical journal aimed at specialists. … Summing Up: Recommended. Graduate students, researchers, faculty, and professionals.” (C. Bauer, Choice, Vol. 55 (10), June, 2018)“This engaging book looks at novel ideas that are worth exploring. … I strongly recommend it for the intended audience: graduate students and researchers. Practitioners and libraries will also benefit from this book, which provides new perspectives.” (S. V. Nagaraj, Computing Reviews, May, 2018)

• 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.