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

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-qua...

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Detalles Bibliográficos
Autor Corporativo: SpringerLink (Online service) (-)
Otros Autores: Zheng, Zhiyong, autor (autor), Tian, Kun, autor, Liu, Fengxia, autor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore 2023.
Edición:1st ed. 2023.
Colección:Springer open access eBooks.
Financial Mathematics and Fintech,
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b47380573*spi
Descripción
Sumario: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.
Descripción Física:XI, 191 páginas : 2 ilustraciones
Formato:Forma de acceso: World Wide Web.
ISBN:9789811976445