Mathematics for Industry

Mathematical Modelling for Next-Generation Cryptography

CREST Crypto-Math Project

Editors: Takagi, T., Wakayama, M., Tanaka, K., Kunihiro, N., Kimoto, K., Duong, D.H. (Eds.)

  • 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
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eBook 91,62 €
price for India (gross)
  • ISBN 978-981-10-5065-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 111,00 €
price for India (gross)
  • ISBN 978-981-10-5064-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

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

 

 

Table of contents (19 chapters)

  • Introduction to CREST Crypto-Math Project

    Takagi, Tsuyoshi

    Pages 1-14

    Preview Buy Chapter 24,95 €
  • Multivariate Public Key Cryptosystems

    Hashimoto, Yasufumi

    Pages 17-42

    Preview Buy Chapter 24,95 €
  • Code-Based Zero-Knowledge Protocols and Their Applications

    Morozov, Kirill

    Pages 43-62

    Preview Buy Chapter 24,95 €
  • Hash Functions Based on Ramanujan Graphs

    Jo, Hyungrok

    Pages 63-79

    Preview Buy Chapter 24,95 €
  • Pairings on Hyperelliptic Curves with Considering Recent Progress on the NFS Algorithms

    Ishii, Masahiro

    Pages 81-96

    Preview Buy Chapter 24,95 €

Buy this book

eBook 91,62 €
price for India (gross)
  • ISBN 978-981-10-5065-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 111,00 €
price for India (gross)
  • ISBN 978-981-10-5064-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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 H. Duong
Series Title
Mathematics for Industry
Series Volume
29
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-5065-7
DOI
10.1007/978-981-10-5065-7
Hardcover ISBN
978-981-10-5064-0
Series ISSN
2198-350X
Edition Number
1
Number of Pages
VIII, 368
Number of Illustrations and Tables
17 b/w illustrations, 6 illustrations in colour
Topics