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Titolo: | Algorithmic Number Theory [[electronic resource] ] : 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings / / edited by Wieb Bosma |
Pubblicazione: | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2000 |
Edizione: | 1st ed. 2000. |
Descrizione fisica: | 1 online resource (IX, 612 p.) |
Disciplina: | 512/.7 |
Soggetto topico: | Number theory |
Data encryption (Computer science) | |
Algorithms | |
Computer science—Mathematics | |
Number Theory | |
Cryptology | |
Algorithm Analysis and Problem Complexity | |
Symbolic and Algebraic Manipulation | |
Discrete Mathematics in Computer Science | |
Persona (resp. second.): | BosmaWieb |
Note generali: | Bibliographic Level Mode of Issuance: Monograph |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | Invited Talks -- The Complexity of Some Lattice Problems -- Rational Points Near Curves and Small Nonzero | x 3 ? y 2| via Lattice Reduction -- Coverings of Curves of Genus 2 -- Lattice Reduction in Cryptology: An Update -- Contributed Papers -- Construction of Secure C ab Curves Using Modular Curves -- Curves over Finite Fields with Many Rational Points Obtained by Ray Class Field Extensions -- New Results on Lattice Basis Reduction in Practice -- Baby-Step Giant-Step Algorithms for Non-uniform Distributions -- On Powers as Sums of Two Cubes -- Factoring Polynomials over ?-Adic Fields -- Strategies in Filtering in the Number Field Sieve -- Factoring Polynomials over Finite Fields and Stable Colorings of Tournaments -- Computing Special Values of Partial Zeta Functions -- Construction of Tables of Quartic Number Fields -- Counting Discriminants of Number Fields of Degree up to Four -- On Reconstruction of Algebraic Numbers -- Dissecting a Sieve to Cut Its Need for Space -- Counting Points on Hyperelliptic Curves over Finite Fields -- Modular Forms for GL(3) and Galois Representations -- Modular Symbols and Hecke Operators -- Fast Jacobian Group Arithmetic on C ab Curves -- Lifting Elliptic Curves and Solving the Elliptic Curve Discrete Logarithm Problem -- A One Round Protocol for Tripartite Diffie–Hellman -- On Exponential Sums and Group Generators for Elliptic Curves over Finite Fields -- Component Groups of Quotients of J 0(N) -- Fast Computation of Relative Class Numbers of CM-Fields -- On Probable Prime Testing and the Computation of Square Roots mod n -- Improving Group Law Algorithms for Jacobians of Hyperelliptic Curves -- Central Values of Artin L-Functions for Quaternion Fields -- The Pseudoprimes up to 1013 -- Computing the Number of Goldbach Partitions up to 5 108 -- Numerical Verification of the Brumer-Stark Conjecture -- Explicit Models of Genus 2 Curves with Split CM -- Reduction in Purely Cubic Function Fields of Unit Rank One -- Factorization in the Composition Algebras -- A Fast Algorithm for Approximately Counting Smooth Numbers -- Computing All Integer Solutions of a General Elliptic Equation -- A Note on Shanks’s Chains of Primes -- Asymptotically Fast Discrete Logarithms in Quadratic Number Fields -- Asymptotically Fast GCD Computation in ?[i]. |
Titolo autorizzato: | Algorithmic Number Theory |
ISBN: | 3-540-44994-9 |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 996465944303316 |
Lo trovi qui: | Univ. di Salerno |
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