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Algorithmic Number Theory [[electronic resource] ] : 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings / / edited by Duncan Buell
| Algorithmic Number Theory [[electronic resource] ] : 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings / / edited by Duncan Buell |
| Edizione | [1st ed. 2004.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
| Descrizione fisica | 1 online resource (XII, 456 p.) |
| Disciplina | 512.7 |
| Collana | Lecture Notes in Computer Science |
| Soggetto topico |
Number theory
Algorithms Computer science—Mathematics Data encryption (Computer science) Number Theory Algorithm Analysis and Problem Complexity Discrete Mathematics in Computer Science Cryptology Symbolic and Algebraic Manipulation |
| ISBN | 3-540-24847-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited Talks -- Computing Zeta Functions via p-Adic Cohomology -- Using Primitive Subgroups to Do More with Fewer Bits -- Elliptic Curves of Large Rank and Small Conductor -- Contributed Papers -- Binary GCD Like Algorithms for Some Complex Quadratic Rings -- On the Complexity of Computing Units in a Number Field -- Implementing the Arithmetic of C 3,4 Curves -- Pseudocubes and Primality Testing -- Elliptic Curves with a Given Number of Points -- Rational Divisors in Rational Divisor Classes -- Conjectures about Discriminants of Hecke Algebras of Prime Level -- Montgomery Scalar Multiplication for Genus 2 Curves -- Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves -- Elliptic Curves x 3 + y 3 = k of High Rank -- Proving the Primality of Very Large Numbers with fastECPP -- A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii’s Algorithm -- Function Field Sieve in Characteristic Three -- A Comparison of CEILIDH and XTR -- Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication -- An Algorithm for Computing Isomorphisms of Algebraic Function Fields -- A Method to Solve Cyclotomic Norm Equations -- Imaginary Cyclic Quartic Fields with Large Minus Class Numbers -- Nonic 3-adic Fields -- Montgomery Addition for Genus Two Curves -- Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields -- Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers -- Low-Dimensional Lattice Basis Reduction Revisited -- Computing Order Statistics in the Farey Sequence -- The Discrete Logarithm in Logarithmic l-Class Groups and Its Applications in K-theory -- Point Counting on Genus 3 Non Hyperelliptic Curves -- Algorithmic Aspects of Cubic Function Fields -- A Binary Recursive Gcd Algorithm -- Lagrange Resolvents Constructed from Stark Units -- Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem. |
| Record Nr. | UNISA-996466235603316 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Algorithmic Number Theory : 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings / / edited by Duncan Buell
| Algorithmic Number Theory : 6th International Symposium, ANTS-VI, Burlington, VT, USA, June 13-18, 2004, Proceedings / / edited by Duncan Buell |
| Edizione | [1st ed. 2004.] |
| Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 |
| Descrizione fisica | 1 online resource (XII, 456 p.) |
| Disciplina | 512.7 |
| Collana | Lecture Notes in Computer Science |
| Soggetto topico |
Number theory
Algorithms Computer science—Mathematics Data encryption (Computer science) Number Theory Algorithm Analysis and Problem Complexity Discrete Mathematics in Computer Science Cryptology Symbolic and Algebraic Manipulation |
| ISBN | 3-540-24847-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Invited Talks -- Computing Zeta Functions via p-Adic Cohomology -- Using Primitive Subgroups to Do More with Fewer Bits -- Elliptic Curves of Large Rank and Small Conductor -- Contributed Papers -- Binary GCD Like Algorithms for Some Complex Quadratic Rings -- On the Complexity of Computing Units in a Number Field -- Implementing the Arithmetic of C 3,4 Curves -- Pseudocubes and Primality Testing -- Elliptic Curves with a Given Number of Points -- Rational Divisors in Rational Divisor Classes -- Conjectures about Discriminants of Hecke Algebras of Prime Level -- Montgomery Scalar Multiplication for Genus 2 Curves -- Improved Weil and Tate Pairings for Elliptic and Hyperelliptic Curves -- Elliptic Curves x 3 + y 3 = k of High Rank -- Proving the Primality of Very Large Numbers with fastECPP -- A Low-Memory Parallel Version of Matsuo, Chao, and Tsujii’s Algorithm -- Function Field Sieve in Characteristic Three -- A Comparison of CEILIDH and XTR -- Stable Models of Elliptic Curves, Ring Class Fields, and Complex Multiplication -- An Algorithm for Computing Isomorphisms of Algebraic Function Fields -- A Method to Solve Cyclotomic Norm Equations -- Imaginary Cyclic Quartic Fields with Large Minus Class Numbers -- Nonic 3-adic Fields -- Montgomery Addition for Genus Two Curves -- Numerical Evaluation at Negative Integers of the Dedekind Zeta Functions of Totally Real Cubic Number Fields -- Salem Numbers of Trace -2 and Traces of Totally Positive Algebraic Integers -- Low-Dimensional Lattice Basis Reduction Revisited -- Computing Order Statistics in the Farey Sequence -- The Discrete Logarithm in Logarithmic l-Class Groups and Its Applications in K-theory -- Point Counting on Genus 3 Non Hyperelliptic Curves -- Algorithmic Aspects of Cubic Function Fields -- A Binary Recursive Gcd Algorithm -- Lagrange Resolvents Constructed from Stark Units -- Cryptanalysis of a Divisor Class Group Based Public-Key Cryptosystem. |
| Record Nr. | UNINA-9910144154003321 |
| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||