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Zhiyong Zheng,Kun Tian,Fengxia Liu

Modern Cryptography Volume 2: A Classical Introduction to Informational and Mathematical Principle

Modern Cryptography Volume 2: A Classical Introduction to Informational and Mathematical Principle

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  • More about Modern Cryptography Volume 2: A Classical Introduction to Informational and Mathematical Principle


This open-access book covers post-quantum cryptography, focusing on computational complexity theory and providing rigorous mathematical definitions and demonstrations for various cryptographic techniques. It is designed for graduate students and professionals in mathematics and cryptography.

Format: Hardback
Length: 191 pages
Publication date: 11 December 2022
Publisher: Springer Verlag, Singapore


This comprehensive open-access book delves into the forefront and emerging research areas in post-quantum cryptography. Its primary objective is to emphasize the computational complexity theory of lattice ciphers, particularly the reduction principle of Ajtai, in order to address the gap that currently exists in post-quantum cryptography, where the focus is primarily on the implementation of encryption and decryption algorithms without sufficient theoretical proof.

In Chapters 3, 4, and 6, the author intricately introduces the theory and technology of LWE distribution, LWE cipher, and homomorphic encryption, providing a detailed account of these subjects. When employing random analysis tools, ambiguity arises in both the definition and algorithm. However, this book stands out as a remarkable resource due to its utilization of probability distribution to provide rigorous mathematical definitions and demonstrations for various unclear or imprecise expressions. This approach establishes a rigorous theoretical framework for classroom teaching and dissemination.

Chapters 5 and 7 further expand and enhance the theory of cyclic lattice, ideal lattice, and generalized NTRU cryptography, contributing to the advancement of this field. This book serves as a valuable professional resource for graduate students specializing in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research.

Weight: 477g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811976438
Edition number: 1st ed. 2023

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