Mathematical Foundations for Post-Quantum Cryptography
Crypto-Math CREST
Series: Mathematics for Industry; 40;
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Product details:
- Publisher Springer Nature Singapore
- Date of Publication 25 October 2025
- Number of Volumes 1 pieces, Book
- ISBN 9789819612178
- Binding Hardback
- No. of pages480 pages
- Size 235x155 mm
- Language English
- Illustrations X, 480 p. 45 illus., 16 illus. in color. Illustrations, black & white 700
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Long description:
This open access book presents mathematical foundations for cryptography securely used in the era of quantum computers.
In particular, this book aims to deepen the basic mathematics of post-quantum cryptography, model the strongest possible attacks such as side-channel attacks, and construct cryptographic protocols that guarantee security against such attacks.
This book is a sequel of the successful book entitled by ``Mathematical Modeling for Next-Generation Cryptography - CREST Crypto-Math Project'' which was published in 2018.
The book is suitable for use in an advanced graduate course in mathematical cryptography and as a reference book for experts.
MoreTable of Contents:
1. Algebraic Geometry.- 2. Number Theory.- 3. Theory of Computation.- 4. Quantum Computation.- 5. Quantum Field Theory.- 6. Mathematical Physics.- 7. Representation Theory.- 8. Lattice Theory.- 9. Multivariate Polynomial Theory.- 10. Data Encryption.- 11. Digital Signature.- 12. Searchable Encryption.- 13. Obfuscation.- 14. Privacy Protection.- 15. Copyright Protection.- 16. ID-based Encryption.
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