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Mathematical Modelling for Next-Generation Cryptography [electronic resource] : CREST Crypto-Math Project / edited by Tsuyoshi Takagi, Masato Wakayama, Keisuke Tanaka, Noboru Kunihiro, Kazufumi Kimoto, Dung Hoang Duong.

Contributor(s): Takagi, Tsuyoshi [editor.] | Wakayama, Masato [editor.] | Tanaka, Keisuke [editor.] | Kunihiro, Noboru [editor.] | Kimoto, Kazufumi [editor.] | Duong, Dung Hoang [editor.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Mathematics for Industry: 29Publisher: Singapore : Springer Nature Singapore : Imprint: Springer, 2018Edition: 1st ed. 2018.Description: VIII, 368 p. 23 illus., 6 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9789811050657.Subject(s): Data structures (Computer science) | Information theory | Data protection | Engineering mathematics | Engineering—Data processing | Number theory | Elementary particles (Physics) | Quantum field theory | Quantum physics | Data Structures and Information Theory | Data and Information Security | Mathematical and Computational Engineering Applications | Number Theory | Elementary Particles, Quantum Field Theory | Quantum PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 005.73 | 003.54 Online resources: Click here to access online
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. .
In: Springer Nature eBookSummary: 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 mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others. Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.
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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. .

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 mathematics, it is the first-ever book to focus on areas that have not yet been fully exploited for cryptographic applications such as representation theory and mathematical physics, among others. Recent advances in cryptanalysis, brought about in particular by quantum computation and physical attacks on cryptographic devices, such as side-channel analysis or power analysis, have revealed the growing security risks for state-of-the-art cryptographic schemes. To address these risks, high-performance, next-generation cryptosystems must be studied, which requires the further development of the mathematical background of modern cryptography. More specifically, in order to avoid the security risks posed by adversaries with advanced attack capabilities, cryptosystems must be upgraded, which in turn relies on a wide range of mathematical theories. This book is suitable for use in an advanced graduate course in mathematical cryptography, while also offering a valuable reference guide for experts.

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