Mathematical Modelling for Next-Generation Cryptography

CREST Crypto-Math Project

Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto (Herausgeber)

Buch | Softcover

368 Seiten

2018 | Softcover reprint of the original 1st ed. 2018
Springer Verlag, Singapore
978-981-13-5309-3 (ISBN)

Artikel merken

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.

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

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.

Erscheinungsdatum	20.12.2018
Reihe/Serie	Mathematics for Industry ; 29
Zusatzinfo	6 Illustrations, color; 17 Illustrations, black and white; VIII, 368 p. 23 illus., 6 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Netzwerke ► Sicherheit / Firewall
	Informatik ► Theorie / Studium ► Algorithmen
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	cryptographic primitives • Multivariate Quadratic Equations • Next-generation Cryptographic Systems • noise models • Quantum Interaction Models • Shortest Vector Problem
ISBN-10	981-13-5309-3 / 9811353093
ISBN-13	978-981-13-5309-3 / 9789811353093
Zustand	Neuware