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The mathematics of public key cryptography
Údaje o názvu The mathematics of public key cryptography [elektronický zdroj] Steven D. Galbraith Osobní jméno Galbraith, Steven D. Vyd.údaje Cambridge ; New York : Cambridge University Press, 2012 Fyz.popis 1 online zdroj (xiv, 615 s.) ISBN 9781139224581 (electronic bk.) 1139224581 (electronic bk.) 9781139218061 1139218069 9781139012843 (electronic bk.) 1139012843 (electronic bk.) Poznámky o skryté bibliografii a rejstřících Obsahuje bibliografické odkazy a rejstřík Úplný obsah 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. Předmět.hesla kódování * kryptografie * kryptologie * Coding theory. * Cryptography - Mathematics. Forma, žánr elektronické knihy * Electronic books. * Electronic books Konspekt 003 - Systémy psaní a písma MDT 003.26 * 003.29 * 004.415.3 DOI 9786613571250 Země vyd. Anglie Jazyk dok. angličtina URL http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=438540 Druh dok. ELEKTRONICKÉ ZDROJE 
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