Overview
- 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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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.
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.
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Keywords
Table of contents (7 chapters)
Authors and Affiliations
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
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