1.

Record Nr.

UNINA9910299568803321

Titolo

Mathematical Modelling for Next-Generation Cryptography : CREST Crypto-Math Project / / edited by Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Dung Hoang Duong

Pubbl/distr/stampa

Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2018

ISBN

981-10-5065-1

Edizione

[1st ed. 2018.]

Descrizione fisica

1 online resource (VIII, 368 p. 23 illus., 6 illus. in color.)

Collana

Mathematics for Industry, , 2198-3518 ; ; 29

Disciplina

652.8

Soggetti

Data structures (Computer science)

Information theory

Data protection

Engineering mathematics

Engineering - Data processing

Number theory

Elementary particles (Physics)

Quantum field theory

Quantum physics

Data Structures and Information Theory

Data and Information Security

Mathematical and Computational Engineering Applications

Number Theory

Elementary Particles, Quantum Field Theory

Quantum Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters and index.

Nota di contenuto

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. .

Sommario/riassunto

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.