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Modern Cryptography Volume 1

A Classical Introduction to Informational and Mathematical Principle

Authors:

  • This book is open access, which means that you have free and unlimited access

  • Connects cryptography with information theory

  • Builds the theory stemming from technology

  • Simplifies and combs the theory and technology of lattice cryptography

Part of the book series: Financial Mathematics and Fintech (FMF)

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Softcover Book USD 49.99
Price excludes VAT (USA)
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Hardcover Book USD 59.99
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  • Durable hardcover edition
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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xi
  2. Preparatory Knowledge

    • Zhiyong Zheng
    Pages 1-33Open Access
  3. The Basis of Code Theory

    • Zhiyong Zheng
    Pages 35-89Open Access
  4. Shannon Theory

    • Zhiyong Zheng
    Pages 91-151Open Access
  5. Cryptosystem and Authentication System

    • Zhiyong Zheng
    Pages 153-196Open Access
  6. Prime Test

    • Zhiyong Zheng
    Pages 197-228Open Access
  7. Elliptic Curve

    • Zhiyong Zheng
    Pages 229-251Open Access
  8. Lattice-Based Cryptography

    • Zhiyong Zheng
    Pages 253-351Open Access
  9. Back Matter

    Pages 353-359

About this book

This open access book systematically explores the statistical characteristics of cryptographic systems, the computational complexity theory of cryptographic algorithms and the mathematical principles behind various encryption and decryption algorithms. The theory stems from technology. Based on Shannon's information theory, this book systematically introduces the information theory, statistical characteristics and computational complexity theory of public key cryptography, focusing on the three main algorithms of public key cryptography, RSA, discrete logarithm and elliptic curve cryptosystem. It aims to indicate what it is and why it is. It systematically simplifies and combs the theory and technology of lattice cryptography, which is the greatest feature of this book.

It requires a good knowledge in algebra, number theory and probability statistics for readers to read this book. The senior students majoring in mathematics, compulsory for cryptography and science and engineering postgraduates will find this book helpful. It can also be used as the main reference book for researchers in cryptography and cryptographic engineering areas.

Authors and Affiliations

  • School of Mathematics, Renmin University of China, Beijing, China

    Zhiyong Zheng

About the author

Zhiyong Zheng is Dean of School of Mathematics, Renmin University of China. He got Ph.D from Shandong University in 1991 and was awarded as Distinguished Paper Award (ICCM 2018), Qiu Shi Outstanding Young Scholar Award (1997), Distinguished Young Scholars (NSF, 1996). His research areas include Diophantine approximation, character sum, cryptography.

Bibliographic Information

  • Book Title: Modern Cryptography Volume 1

  • Book Subtitle: A Classical Introduction to Informational and Mathematical Principle

  • Authors: Zhiyong Zheng

  • Series Title: Financial Mathematics and Fintech

  • DOI: https://doi.org/10.1007/978-981-19-0920-7

  • Publisher: Springer Singapore

  • eBook Packages: Economics and Finance, Economics and Finance (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s) 2022

  • License: CC BY

  • Hardcover ISBN: 978-981-19-0919-1Published: 17 April 2022

  • Softcover ISBN: 978-981-19-0922-1Published: 17 April 2022

  • eBook ISBN: 978-981-19-0920-7Published: 16 April 2022

  • Series ISSN: 2662-7167

  • Series E-ISSN: 2662-7175

  • Edition Number: 1

  • Number of Pages: XI, 359

  • Number of Illustrations: 11 b/w illustrations

  • Topics: Financial Engineering, Applications of Mathematics, Mathematics of Computing

Buy it now

Buying options

Softcover Book USD 49.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 59.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access