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

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

Hardcover

Series: Financial Mathematics and Fintech

EconomicsInvesting & FinanceGeneral Mathematics

ISBN10: 9811976430
ISBN13: 9789811976438
Publisher: Springer
Published: Dec 11 2022
Pages: 191
Weight: 1.02
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.

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