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Mathematics of public key cryptography / / Steven D. Galbraith [[electronic resource]]
| Mathematics of public key cryptography / / Steven D. Galbraith [[electronic resource]] |
| Autore | Galbraith Steven D. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xiv, 615 pages) : digital, PDF file(s) |
| Disciplina | 003/.54 |
| Soggetto topico |
Coding theory
Cryptography - Mathematics |
| ISBN |
1-107-22971-5
1-280-39333-5 1-139-22286-4 9786613571250 1-139-01284-3 1-139-21806-9 1-139-21497-7 1-139-22458-1 1-139-22114-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 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. |
| Record Nr. | UNINA-9910461608403321 |
Galbraith Steven D.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of public key cryptography / / Steven D. Galbraith (University of Auckland)
| Mathematics of public key cryptography / / Steven D. Galbraith (University of Auckland) |
| Autore | Galbraith Steven D. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xiv, 615 pages) : digital, PDF file(s) |
| Disciplina | 003/.54 |
| Soggetto topico |
Codificació, Teoria de la
Criptografia - Matemàtica Coding theory Cryptography - Mathematics Criptografia Teoria de la codificació |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9781139012843
1-107-22971-5 1-280-39333-5 1-139-22286-4 9786613571250 1-139-01284-3 1-139-21806-9 1-139-21497-7 1-139-22458-1 1-139-22114-0 |
| Classificazione | MAT008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 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. |
| Record Nr. | UNINA-9910790280403321 |
|
Galbraith Steven D.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of public key cryptography / / Steven D. Galbraith (University of Auckland)
| Mathematics of public key cryptography / / Steven D. Galbraith (University of Auckland) |
| Autore | Galbraith Steven D. |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2012 |
| Descrizione fisica | 1 online resource (xiv, 615 pages) : digital, PDF file(s) |
| Disciplina | 003/.54 |
| Soggetto topico |
Codificació, Teoria de la
Criptografia - Matemàtica Coding theory Cryptography - Mathematics Criptografia Teoria de la codificació |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9781139012843
1-107-22971-5 1-280-39333-5 1-139-22286-4 9786613571250 1-139-01284-3 1-139-21806-9 1-139-21497-7 1-139-22458-1 1-139-22114-0 |
| Classificazione | MAT008000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 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 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. |
| Record Nr. | UNINA-9910816070403321 |
|
Galbraith Steven D.
|
||
| Cambridge : , : Cambridge University Press, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||