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Beschreibung
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.
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.
Über den Autor
Zhiyong Zheng is Professor and Dean of School of Mathematics, Renmin University. His research and academic experiences include in 1995, Princeton University, as Visiting Scholar; in 1988-1991¿Shandong University¿ Ph.D. He received Distinguished Paper Award (ICCM 2018), Qiu Shi Outstanding Young Scholar Award (1997) and The National Science Fund for Distinguished Young Scholars (1996). He was Dean of School of Mathematics, Renmin University of China. His research area includes Diophantine approximation, character sum and cryptography
Zusammenfassung

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

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2022
Fachbereich: Betriebswirtschaft
Genre: Importe, Wirtschaft
Rubrik: Recht & Wirtschaft
Medium: Taschenbuch
Reihe: Financial Mathematics and Fintech
Inhalt: xi
359 S.
11 s/w Illustr.
359 p. 11 illus.
ISBN-13: 9789811909221
ISBN-10: 9811909229
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Zheng, Zhiyong
Auflage: 1st edition 2022
Hersteller: Springer
Springer Singapore
Financial Mathematics and Fintech
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 21 mm
Von/Mit: Zhiyong Zheng
Erscheinungsdatum: 22.05.2022
Gewicht: 0,563 kg
Artikel-ID: 121172233