Modern Cryptography Volume 1 A Classical Introduction to Informational and Mathematical Principle

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 Shan...

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Hlavní autor: Zheng, Zhiyong
Médium: E-kniha Publikace
Jazyk:angličtina
Vydáno: Singapore Springer Nature 2022
Springer
Springer Singapore
Renmin University of China
Vydání:1
Edice:Financial Mathematics and Fintech
Témata:
Business
Computational Complexity
Computer science—Mathematics
Elliptic Curve Public Key Cryptosystem
Financial engineering
Hamming Distance
Integer Lattice and Q-ary Lattice
Management
Mathematics
Modern Cryptography
Nonfiction
NTRU Cryptosystem and Ajtai/Dwork Cryptosystem
Optimal Code Theory
Shannon Theorem
Social sciences—Mathematics
Source Coding Theorem
Statistical Characteristics of Cryptosystem
ISBN:9811909202, 9789811909207, 9789811909191, 9811909199
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Popis
Shrnutí: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.
Bibliografie:Electronic reproduction. Dordrecht: Springer, 2022. Requires the Libby app or a modern web browser.
ISBN:9811909202
9789811909207
9789811909191
9811909199
DOI:10.1007/978-981-19-0920-7