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

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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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Главный автор: Zheng, Zhiyong (auth)
Другие авторы: Tian, Kun (auth), Liu, Fengxia (auth)
Формат: Электронный ресурс Глава книги
Язык:английский
Опубликовано: Singapore Springer Nature 2023
Серии:Financial Mathematics and Fintech
Предметы:
Macroeconomics
Applied mathematics
Post-Quantum Cryptography
Gauss Lattice
Reduction
Learning With Errors
FHE
Fourier transform
Ideal lattice
NTRU
Smoothing parameters
Discrete Gaussian measure
Online-ссылка:OAPEN Library: download the publication
OAPEN Library: description of the publication
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Итог: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.
Объем:1 electronic resource (191 p.)
ISBN:978-981-19-7644-5
9789811976445
Доступ:Open Access

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