Mathematical modelling for next-generation cryptography : CREST crypto-math project 1st ed.

Author

Additional Author(s)

• Takagi, Tsuyoshi
• Wakayama, Masato
• Tanaka, Keisuke
• Kunihiro, Noboru
• Kimoto, Kazufumi
• Duong, Dung Hoang

Publisher

Singapore: Springer Nature Singapore Pte Ltd., 2018

Language

English

ISBN

9789811050657

Series

Mathematics for industry 29

Subject(s)

• COMPUTER SECURITY
• DATA STRUCTURES (COMPUTER SCIENCE)
• QUANTUM THEORY

Notes

. .

Abstract

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.

Physical Dimension

Number of Page(s)

1 online resource (viii, 368 p.)

Dimension

-

Other Desc.

ill. (in color.)

Summary / Review / Table of Content

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. .

Exemplar(s)

#	Accession No.	Call Number	Location	Status
1.	01478/20	005.74 Mat	Online !	Available