عنوان

Mathematics of public key cryptography /

شرايط تهيه و بها

(hardback)

شرايط تهيه و بها

(hardback)

شابک

1107013925

شابک

9781107013926

شماره

b418153

عنوان اصلي

Mathematics of public key cryptography /

نام عام مواد

[Book]

نام نخستين پديدآور

Steven D. Galbraith

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Cambridge University Press,

تاریخ نشرو بخش و غیره

2012

نام خاص و کميت اثر

xiv, 615 p. :

ساير جزييات

ill. ;

ابعاد

26 cm

متن يادداشت

Includes bibliographical references (p. 579-602) and indexes

متن يادداشت

1. Introduction -- Part I. Background: 2. Basic algorithmic number theory; 3. Hash functions and MACs -- Part II. Algebraic Groups: 4. Preliminary remarks on algebraic groups; 5. Varieties; 6. Tori, LUC and XTR; 7. Curves and divisor class groups; 8. Rational maps on curves and divisors; 9. Elliptic curves; 10. Hyperelliptic curves -- Part III. Exponentiation, Factoring and Discrete Logarithms: 11. Basic algorithms for algebraic groups; 12. Primality testing and integer factorisation using algebraic groups; 13. Basic discrete logarithm algorithms; 14. Factoring and discrete logarithms using pseudorandom walks; 15. Factoring and discrete logarithms in subexponential algorithms -- Part IV. Lattices: 16. Lattices; 17. Lattice basis reduction; 18. Algorithms for the closet and shortest vector problems; 19. Coppersmith's method and related applications -- Part V. Cryptography Related to Discrete Logarithms: 20. The Diffie-Hellman problem and cryptographic applications; 21. The Diffie-Hellman problem; 22. Digital signatures based on discrete logarithms; 23. Public key encryption based on discrete logarithms -- Part VI. Cryptography Related to Integer Factorisation: 24. The RSA and Rabin cryptosystems -- Part VII. Advanced Topics in Elliptic and Hyperelliptic Curves: 25. Isogenies of elliptic curves; 26. Pairings on elliptic curves

بدون عنوان

0

متن يادداشت

"Public key cryptography is a major interdisciplinary subject with many real-world applications, such as digital signatures. A strong background in the mathematics underlying public key cryptography is essential for a deep understanding of the subject, and this book provides exactly that for students and researchers in mathematics, computer science and electrical engineering. Carefully written to communicate the major ideas and techniques of public key cryptography to a wide readership, this text is enlivened throughout with historical remarks and insightful perspectives on the development of the subject. Numerous examples, proofs and exercises make it suitable as a textbook for an advanced course, as well as for self-study. For more experienced researchers it serves as a convenient reference for many important topics: the Pollard algorithms, Maurer reduction, isogenies, algebraic tori, hyperelliptic curves and many more"--

موضوع مستند نشده

Coding theory

موضوع مستند نشده

Cryptography-- Mathematics

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Galbraith, Steven D

تاريخ عمليات

20120621120324.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y