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Mathematical Modelling for Next-Generation Cryptography: CREST Crypto-Math Project de Tsuyoshi Takagi

Mathematical Modelling for Next-Generation Cryptography: CREST Crypto-Math Project: Mathematics for Industry, cartea 29

Editat de Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Dung Hoang Duong
en Limba Engleză Paperback – 23 dec 2018
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.

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Specificații

ISBN-13: 9789811353093
ISBN-10: 9811353093
Pagini: 368
Ilustrații: VIII, 368 p. 23 illus., 6 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.53 kg
Ediția:Softcover reprint of the original 1st ed. 2018
Editura: Springer Nature Singapore
Colecția Springer
Seria Mathematics for Industry

Locul publicării:Singapore, Singapore

Cuprins

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. 

Recenzii

“The present volume is unique in that it focuses on cryptography's future. It won’t come as a surprise to anyone in this field that the future is highly mathematical. … this book is essentially a collection of research papers, and the prerequisites to understanding it are similar to that of a technical journal aimed at specialists. … Summing Up: Recommended. Graduate students, researchers, faculty, and professionals.” (C. Bauer, Choice, Vol. 55 (10), June, 2018)

“This engaging book looks at novel ideas that are worth exploring. … I strongly recommend it for the intended audience: graduate students and researchers. Practitioners and libraries will also benefit from this book, which provides new perspectives.” (S. V. Nagaraj, Computing Reviews, May, 2018)

Notă biografică

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

 
 

Textul de pe ultima copertă

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.

Caracteristici

The first book to focus on areas that have not yet been fully exploited for cryptographic applications, such as representation theory and mathematical physics Contributes to a better understanding of the current state of modern cryptography Develops new advanced mathematical techniques and their applications in next-generation cryptography Presents contributions by leading international researchers in the field of cryptography, representation theory, number theory, and quantum physics, among others Includes supplementary material: sn.pub/extras