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Mathematical modelling for next-gene...

Takagi, Tsuyoshi.

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Mathematical modelling for next-generation cryptography = CREST Crypto-Math Project /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical modelling for next-generation cryptography/ edited by Tsuyoshi Takagi ... [et al.].
其他題名:	CREST Crypto-Math Project /
其他作者:	Takagi, Tsuyoshi.
出版者:	Singapore :Springer Singapore : : 2018.,
面頁冊數:	viii, 368 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer eBooks
標題:	Cryptography - Mathematical models. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-5065-7
ISBN:	9789811050657

Mathematical modelling for next-generation cryptography = CREST Crypto-Math Project /
Mathematical modelling for next-generation cryptographyCREST Crypto-Math Project /[electronic resource] :edited by Tsuyoshi Takagi ... [et al.]. - Singapore :Springer Singapore :2018. - viii, 368 p. :ill., digital ;24 cm. - Mathematics for Industry,v.292198-350X ;. - Mathematics for Industry ;v.29..

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.

ISBN: 9789811050657

Standard No.: 10.1007/978-981-10-5065-7doiSubjects--Topical Terms:

3295602
Cryptography
--Mathematical models.

LC Class. No.: QA76.9.A25

Dewey Class. No.: 005.82

Mathematical modelling for next-generation cryptography = CREST Crypto-Math Project /
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505 0 $a 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.
520 $a 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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