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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Modern cryptography.by Zhiyong Zheng, Kun Tian, Fengxia Liu.
其他題名:	Classical introduction to informational and mathematical principle
作者:	Zheng, Zhiyong.
其他作者:	Tian, Kun.
出版者:	Singapore :Springer Nature Singapore :2023.
面頁冊數:	xi, 191 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Cryptography.
電子資源:	https://doi.org/10.1007/978-981-19-7644-5
ISBN:	9789811976445$q(electronic bk.)

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$q(electronic bk.)

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

189522
Cryptography.

LC Class. No.: QA268 / .Z44 2023

Dewey Class. No.: 652.8

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