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Mathematical Modelling for Next-Generation Cryptography

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Table of Contents

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.

About the Author

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


"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)

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