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Cover: 9781107013926 | Mathematics of Public Key Cryptography | Steven. D Galbraith | Buch
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Mathematics of Public Key Cryptography
Buch von Steven. D Galbraith
Sprache: Englisch

55,40 €*

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Beschreibung
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography.
Über den Autor
Steven D. Galbraith is a leading international authority on the mathematics of public key cryptography. He is an Associate Professor in the Department of Mathematics at the University of Auckland.
Inhaltsverzeichnis
Preface; Acknowledgements; 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 time; Part IV. Lattices: 16. Lattices; 17. Lattice basis reduction; 18. Algorithms for the closest 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; Appendix A. Background mathematics; References; Author index; Subject index.
Details
Erscheinungsjahr: 2012
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 630
ISBN-13: 9781107013926
ISBN-10: 1107013925
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Galbraith, Steven. D
Hersteller: Cambridge University Press
Maße: 250 x 175 x 38 mm
Von/Mit: Steven. D Galbraith
Erscheinungsdatum: 15.03.2012
Gewicht: 1,252 kg
preigu-id: 106894525
Über den Autor
Steven D. Galbraith is a leading international authority on the mathematics of public key cryptography. He is an Associate Professor in the Department of Mathematics at the University of Auckland.
Inhaltsverzeichnis
Preface; Acknowledgements; 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 time; Part IV. Lattices: 16. Lattices; 17. Lattice basis reduction; 18. Algorithms for the closest 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; Appendix A. Background mathematics; References; Author index; Subject index.
Details
Erscheinungsjahr: 2012
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 630
ISBN-13: 9781107013926
ISBN-10: 1107013925
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Galbraith, Steven. D
Hersteller: Cambridge University Press
Maße: 250 x 175 x 38 mm
Von/Mit: Steven. D Galbraith
Erscheinungsdatum: 15.03.2012
Gewicht: 1,252 kg
preigu-id: 106894525
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