Zhiyong Zheng: Modern Cryptography Volume 2

Cover: 9789811976469 | Modern Cryptography Volume 2 | Zhiyong Zheng (u. a.) | Taschenbuch

Rückseite: 9789811976469 | Modern Cryptography Volume 2 | Zhiyong Zheng (u. a.) | Taschenbuch

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Beschreibung

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.

Über den Autor

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 1988-1991¿Shandong 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

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2022
Fachbereich:	Volkswirtschaft
Genre:	Importe , Wirtschaft
Rubrik:	Recht & Wirtschaft
Medium:	Taschenbuch
Reihe:	Financial Mathematics and Fintech
Inhalt:	xi 191 S. 2 s/w Illustr. 191 p. 2 illus.
ISBN-13:	9789811976469
ISBN-10:	9811976465
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Zheng, Zhiyong Tian, Kun Liu, Fengxia
Auflage:	1st edition 2023
Hersteller:	Springer Springer Singapore Financial Mathematics and Fintech
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 12 mm
Von/Mit:	Zhiyong Zheng (u. a.)
Erscheinungsdatum:	11.12.2022
Gewicht:	0,318 kg