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takagi tsuyoshi (curatore); wakayama masato (curatore); tanaka keisuke (curatore); kunihiro noboru (curatore); kimoto kazufumi (curatore); duong dung hoang (curatore) - mathematical modelling for next-generation cryptography

Mathematical Modelling for Next-Generation Cryptography CREST Crypto-Math Project

Name: Mathematical Modelling for Next-Generation Cryptography
Price: 113,03 € EUR
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Author: Takagi Tsuyoshi Curatore Wakayama Masato Curatore Tanaka Keisuke Curatore Kunihiro Noboru Curatore Kimoto Kazufumi Curatore Duong Dung Hoang Curatore
ISBN: 9789811353093

takagi tsuyoshi (curatore); wakayama masato (curatore); tanaka keisuke (curatore); kunihiro noboru (curatore); kimoto kazufumi (curatore); duong dung hoang (curatore)

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Dettagli

Genere:Libro

Lingua: Inglese

Editore:

Springer

Pubblicazione: 12/2018

Edizione: Softcover reprint of the original 1st ed. 2018

Trama

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.

Sommario

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.

Autore

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

Altre Informazioni

ISBN:

9789811353093

Condizione: Nuovo

Collana: Mathematics for Industry

Dimensioni: 235 x 155 mm

Formato: Brossura

Illustration Notes:VIII, 368 p. 23 illus., 6 illus. in color.

Pagine Arabe: 368

Pagine Romane: viii

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