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

• 主要な著者: Zheng, Zhiyong (著者), Tian, Kun (著者), Liu, Fengxia (著者)
• 団体著者: SpringerLink (Online service)
• フォーマット: 電子媒体 eBook
• 言語: 英語
• 出版事項: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
• 版: 1st ed. 2023.
• シリーズ: Financial Mathematics and Fintech,
• 主題: Finance.; Social sciences > Mathematics.; Financial Economics.; Mathematics in Business, Economics and Finance.
• オンライン･アクセス: Link to Metadata

要約

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.

物理的記述

XI, 191 p. 2 illus. online resource.

ISBN

9789811976445

ISSN

2662-7175

DOI

10.1007/978-981-19-7644-5

アクセス

Open Access