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Modern cryptography.. Volume 2,. A c...

Zheng, Zhiyong.

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Modern cryptography.. Volume 2,. A classical introduction to informational and mathematical principle

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modern cryptography./ by Zhiyong Zheng, Kun Tian, Fengxia Liu.
remainder title:	Classical introduction to informational and mathematical principle
Author:	Zheng, Zhiyong.
other author:	Tian, Kun.
Published:	Singapore :Springer Nature Singapore : : 2023.,
Description:	xi, 191 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Cryptography. -
Online resource:	https://doi.org/10.1007/978-981-19-7644-5
ISBN:	9789811976445

Modern cryptography.. Volume 2,. A classical introduction to informational and mathematical principle
Zheng, Zhiyong.

Modern cryptography.Volume 2,A classical introduction to informational and mathematical principle[electronic resource] /Classical introduction to informational and mathematical principleby Zhiyong Zheng, Kun Tian, Fengxia Liu. - Singapore :Springer Nature Singapore :2023. - xi, 191 p. :ill., digital ;24 cm. - Financial mathematics and fintech,2662-7175. - Financial mathematics and fintech..

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.

Open access.

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.

ISBN: 9789811976445

Standard No.: 10.1007/978-981-19-7644-5doiSubjects--Topical Terms:

532586
Cryptography.

LC Class. No.: QA268 / .Z44 2023

Dewey Class. No.: 652.8

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506 $a Open access.
520 $a 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.
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