Overview
- 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
Part of the book series: Mathematics for Industry (MFI, volume 29)
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Table of contents (19 chapters)
Keywords
About this book
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.
Reviews
“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)
Editors and Affiliations
About the editors
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
Bibliographic Information
Book Title: Mathematical Modelling for Next-Generation Cryptography
Book Subtitle: CREST Crypto-Math Project
Editors: Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Dung Hoang Duong
Series Title: Mathematics for Industry
DOI: https://doi.org/10.1007/978-981-10-5065-7
Publisher: Springer Singapore
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-10-5064-0Published: 04 August 2017
Softcover ISBN: 978-981-13-5309-3Published: 23 December 2018
eBook ISBN: 978-981-10-5065-7Published: 25 July 2017
Series ISSN: 2198-350X
Series E-ISSN: 2198-3518
Edition Number: 1
Number of Pages: VIII, 368
Number of Illustrations: 17 b/w illustrations, 6 illustrations in colour
Topics: Data Structures and Information Theory, Systems and Data Security, Mathematical and Computational Engineering, Number Theory, Quantum Field Theories, String Theory, Quantum Physics
Industry Sectors: Electronics, IT & Software, Telecommunications