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Modern Cryptography Volume 2

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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-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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Detail Information

Series Title

Financial Mathematics and Fintech

Call Number

XI, 191

Publisher

Springer Singapore : Springer Singapore., 2023

Collation

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Language

English

ISBN/ISSN

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Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

1

Subject(s)

Macroeconomics
Applications of Mathematics
Financial Economics

Specific Detail Info

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Statement of Responsibility

Zhiyong Zheng, Kun Tian, Fengxia Liu

Other Information

Cataloger

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Source

https://link.springer.com/book/10.1007/978-981-19-7644-5

Validator

Suwardi

Digital Object Identifier (DOI)

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Journal Volume

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