Description: FREE SHIPPING UK WIDE Modern Cryptography Volume 2 by Zhiyong Zheng, Kun Tian, Fengxia Liu This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography.This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research. FORMAT Paperback LANGUAGE English CONDITION Brand New Back Cover This open access book covers the most cutting-edge and hot research topics and fields of post-quantum cryptography. The main purpose of this book is to focus on the computational complexity theory of lattice ciphers, especially the reduction principle of Ajtai, in order to fill the gap that post-quantum ciphers focus on the implementation of encryption and decryption algorithms, but the theoretical proof is insufficient. In Chapter 3, Chapter 4 and Chapter 6, author introduces the theory and technology of LWE distribution, LWE cipher and homomorphic encryption in detail. When using random analysis tools, there is a problem of "ambiguity" in both definition and algorithm. The greatest feature of this book is to use probability distribution to carry out rigorous mathematical definition and mathematical demonstration for various unclear or imprecise expressions, so as to make it a rigorous theoretical system for classroom teaching and dissemination. Chapters 5 and 7 further expand and improve the theory of cyclic lattice, ideal lattice and generalized NTRU cryptography. This book is used as a professional book for graduate students majoring in mathematics and cryptography, as well as a reference book for scientific and technological personnel engaged in cryptography research. Author Biography 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 1988-1991Shandong 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 Table of Contents Chapter 1. Gauss lattice theory.- Chapter 2. Reduction principle of Ajtai.- Chapter 3. Learning with errors.- Chapter 4. LWE cryptosystem.- Chapter 5. Cyclic lattice and Ideal lattice.- Chapter 6. Fully Homomorphic Encryption.- Chapter 7. General NTRU cryptosystem. Feature This book is open access, which means that you have free and unlimited access. Covers cutting-edge topics and compiled from the latest scientific research achievements in the past 20 years Uses probability distribution to carry out rigorous mathematical definitions and mathematical demonstrations This book fills the gap in the insufficient theoretical proofs of post-quantum cryptographic algorithms Details ISBN9811976465 Author Fengxia Liu Short Title Modern Cryptography Volume 2 Series Financial Mathematics and Fintech Language English ISBN-10 9811976465 ISBN-13 9789811976469 Format Paperback Subtitle A Classical Introduction to Informational and Mathematical Principle Publisher Springer Verlag, Singapore Edition 1st Imprint Springer Verlag, Singapore Place of Publication Singapore Country of Publication Singapore UK Release Date 2022-12-11 Pages 191 Edition Description 1st ed. 2023 Year 2022 Publication Date 2022-12-11 Alternative 9789811976438 Illustrations 2 Illustrations, black and white; XI, 191 p. 2 illus. 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Format: Paperback
Language: English
ISBN-13: 9789811976469
Author: Zhiyong Zheng, Kun Tian, Fengxia Liu
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Book Title: Modern Cryptography Volume 2
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