书目名称 | Modern Cryptography Volume 2 |
副标题 | A Classical Introduc |
编辑 | Zhiyong Zheng,Kun Tian,Fengxia Liu |
视频video | |
概述 | 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 probabi |
丛书名称 | Financial Mathematics and Fintech |
图书封面 |  |
描述 | 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 |
出版日期 | Book‘‘‘‘‘‘‘‘ 2023 |
关键词 | Open Access; Post-Quantum Cryptography; Gauss Lattice; Reduction; Learning With Errors; FHE; Fourier trans |
版次 | 1 |
doi | https://doi.org/10.1007/978-981-19-7644-5 |
isbn_softcover | 978-981-19-7646-9 |
isbn_ebook | 978-981-19-7644-5Series ISSN 2662-7167 Series E-ISSN 2662-7175 |
issn_series | 2662-7167 |
copyright | The Editor(s) (if applicable) and The Author(s) 2023 |