Modern cryptography. Volume 1, A classical introduction to informational and mathematical principle / Zhiyong Zheng.
Zheng, Zhiyong, author.
2022
QA268
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Title Modern cryptography. Volume 1, A classical introduction to informational and mathematical principle / Zhiyong Zheng.
Author Zheng, Zhiyong, author.
ISBN 9789811909207 (electronic bk.)
9811909202 (electronic bk.)
9789811909191 (print)
DOI https://doi.org/10.1007/978-981-19-0920-7
Published Singapore : Springer, 2022.
Language English
Description 1 online resource (xi, 359 pages) : illustrations.
Item Number 10.1007/978-981-19-0920-7 doi
Call Number QA268
Dewey Decimal Classification 652/.8
Summary 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Open access.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed April 20, 2022).
Series Financial mathematics and fintech, 2662-7175
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Chapter 1. Preparatory knowledge
Chapter 2. The basis of code theory
Chapter 3. Shannon theory
Chapter 4. Cryptosystem and authentication system
Chapter 5. Prime test
Chapter 6. Elliptic curve
Chapter 7. Lattice-based cryptography.

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