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    Modern Cryptography Volume 1

    A Classical Introduction to Informational and Mathematical Principle

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    Author(s)
    Zheng, Zhiyong
    Language
    English
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    Abstract
    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.
    URI
    https://library.oapen.org/handle/20.500.12657/54458
    Keywords
    Modern Cryptography; Computational Complexity; Hamming Distance; Shannon Theorem; Source Coding Theorem; Optimal Code Theory; Statistical Characteristics of Cryptosystem; Elliptic Curve Public Key Cryptosystem; Integer Lattice and Q-ary Lattice; NTRU Cryptosystem and Ajtai/Dwork Cryptosystem
    DOI
    10.1007/978-981-19-0920-7
    ISBN
    9789811909207, 9789811909207
    Publisher
    Springer Nature
    Publisher website
    https://www.springernature.com/gp/products/books
    Publication date and place
    Singapore, 2022
    Imprint
    Springer Nature Singapore
    Series
    Financial Mathematics and Fintech,
    Pages
    359
    Rights
    http://creativecommons.org/licenses/by/4.0/
    • Imported or submitted locally

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    License

    • If not noted otherwise all contents are available under Attribution 4.0 International (CC BY 4.0)

    Credits

    • logo EU
    • This project received funding from the European Union's Horizon 2020 research and innovation programme under grant agreement No 683680, 810640, 871069 and 964352.

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