Modern Cryptography Volume 1
A Classical Introduction to Informational and Mathematical Principle
Seiten
2022
|
1st ed. 2022
Springer Nature (Verlag)
978-981-19-0922-1 (ISBN)
Springer Nature (Verlag)
978-981-19-0922-1 (ISBN)
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.
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.
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.
| Erscheinungsdatum | 26.04.2022 |
|---|---|
| Reihe/Serie | Financial Mathematics and Fintech |
| Zusatzinfo | 11 Illustrations, black and white; XI, 359 p. 11 illus. |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Wirtschaft ► Betriebswirtschaft / Management ► Finanzierung | |
| Schlagworte | Computational Complexity • Elliptic Curve Public Key Cryptosystem • hamming distance • Integer Lattice and Q-ary Lattice • Modern cryptography • NTRU Cryptosystem and Ajtai/Dwork Cryptosystem • open access • Optimal Code Theory • Shannon theorem • Source Coding Theorem • Statistical Characteristics of Cryptosystem |
| ISBN-10 | 981-19-0922-9 / 9811909229 |
| ISBN-13 | 978-981-19-0922-1 / 9789811909221 |
| Zustand | Neuware |
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