This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others.
Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically
, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories.
This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.
Recenzijas
The present volume is unique in that it focuses on cryptography's future. It wont 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.
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
