Mathematical Modelling for Next-Generation Cryptography CREST Crypto-Math Project /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Takagi, Tsuyoshi (Editor, http://id.loc.gov/vocabulary/relators/edt), Wakayama, Masato (Editor, http://id.loc.gov/vocabulary/relators/edt), Tanaka, Keisuke (Editor, http://id.loc.gov/vocabulary/relators/edt), Kunihiro, Noboru (Editor, http://id.loc.gov/vocabulary/relators/edt), Kimoto, Kazufumi (Editor, http://id.loc.gov/vocabulary/relators/edt), Duong, Dung Hoang (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Mathematics for Industry, 29
• Subjects: Data structures (Computer science).; Computer security.; Applied mathematics.; Engineering mathematics.; Number theory.; Quantum field theory.; String theory.; Quantum physics.; Data Structures and Information Theory.; Systems and Data Security.; Mathematical and Computational Engineering.; Number Theory.; Quantum Field Theories, String Theory.; Quantum Physics.

This book presents the mathematical background underlying security modeling in the context of next-generation cryptography. By introducing new mathematical results in order to strengthen information security, while simultaneously presenting fresh insights and developing the respective areas of mathe...

Table 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. .