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Modern Cryptography Volume 2 - A Classical Introduction to Informational and Mathematical Principle (Hardcover, 1st ed. 2023)
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Modern Cryptography Volume 2 - A Classical Introduction to Informational and Mathematical Principle (Hardcover, 1st ed. 2023)
Series: Financial Mathematics and Fintech
Expected to ship within 9 - 15 working days
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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. 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.
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