Mathematical Modelling for Next-Generation Cryptography

CREST Crypto-Math Project
1. Auflage 2018
ISBN: 978-981-10-5064-0
Verlag: Springer Nature Singapore

Buch, Englisch, Band 29, 368 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 729 g

Reihe: Mathematics for Industry

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.

Zielgruppe

Research

Autoren/Hrsg.

Takagi, Tsuyoshi

Wakayama, Masato

Duong, Dung Hoang

Tanaka, Keisuke

Kunihiro, Noboru

Kimoto, Kazufumi

Fachgebiete

• Mathematik | Informatik EDV | Informatik Technische Informatik Computersicherheit Kryptographie, Datenverschlüsselung
• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

Inhaltsverzeichnis

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.

Über Autor(innen)

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