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Mathematical Modelling for Next-Generation Cryptography

CREST Crypto-Math Project

  • Book
  • © 2018

Overview

Editors:
  1. Tsuyoshi Takagi

    1. Kyushu University, Fukuoka, Japan

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  2. Masato Wakayama

    1. Kyushu University, Fukuoka, Japan

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  3. Keisuke Tanaka

    1. Tokyo Institute of Technology, Tokyo, Japan

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  4. Noboru Kunihiro

    1. The University of Tokyo, Kashiwa, Japan

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  5. Kazufumi Kimoto

    1. University of the Ryukyus, Nakagami-gun, Japan

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  6. Dung Hoang Duong

    1. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

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  • 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)

  1. Front Matter

    Pages i-viii
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  2. Introduction to CREST Crypto-Math Project

    • Tsuyoshi Takagi
    Pages 1-14
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Keywords

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.


Reviews

“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)


Editors and Affiliations

  • Kyushu University, Fukuoka, Japan

    Tsuyoshi Takagi, Masato Wakayama

  • Tokyo Institute of Technology, Tokyo, Japan

    Keisuke Tanaka

  • The University of Tokyo, Kashiwa, Japan

    Noboru Kunihiro

  • University of the Ryukyus, Nakagami-gun, Japan

    Kazufumi Kimoto

  • Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

    Dung Hoang Duong

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

 

 

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