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Algorithmic Number Theory : 9th International Symposium, ANTS-IX, Nancy, France, July 19-23, 2010. Proceedings

Author: Guillaume Hanrot; François Morain; Emmanuel Thomé
Publisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010.
Series: Lecture Notes in Computer Science, 6197.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Algorithmic number theory.
Summary:

Constitutes the refereed proceedings of the 9th International Algorithmic Number Theory Symposium, ANTS 2010, held in Nancy, France, in July 2010. This book features the papers that are devoted to  Read more...

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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Guillaume Hanrot; François Morain; Emmanuel Thomé
ISBN: 9783642145186 3642145183 9783642145179 3642145175
OCLC Number: 731125012
Notes: Computer Science (Springer-11645).
Description: 1 online resource (Online-Datei.).
Contents: Invited papers.- Putting the Hodge and Tate Conjectures to the Test.- Curves of Genus 3 with a Group of Automorphisms Isomorphic to S3.- Learning with Errors over Rings.- Lattices and Spherical Designs.- Fixed Points for Discrete Logarithms.- Contributed papers.- Explicit Coleman Integration for Hyperelliptic Curves.- Smallest Reduction Matrix of Binary Quadratic Forms.- Practical Improvements to Class Group and Regulator Computation of Real Quadratic Fields.- On the Use of the Negation Map in the Pollard Rho Method.- An O(M(n) logn) Algorithm for the Jacobi Symbol.- New Families of ECM Curves for Cunningham Numbers.- Visualizing Elements of Sha[3] in Genus 2 Jacobians.- On Weil Polynomials of K3 Surfaces.- Class Invariants by the CRT Method.- Short Bases of Lattices over Number Fields.- On the Complexity of the Montes Ideal Factorization Algorithm.- Congruent Number Theta Coefficients to 1012.- Pairing the Volcano.- A Subexponential Algorithm for Evaluating Large Degree Isogenies.- Huff's Model for Elliptic Curves.- Efficient Pairing Computation with Theta Functions.- Small-Span Characteristic Polynomials of Integer Symmetric Matrices.- Decomposition Attack for the Jacobian of a Hyperelliptic Curve over an Extension Field.- Factoring Polynomials over Local Fields II.- On a Problem of Hajdu and Tengely.- Sieving for Pseudosquares and Pseudocubes in Parallel Using Doubly-Focused Enumeration and Wheel Datastructures.- On the Extremality of an 80-Dimensional Lattice.- Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number.- Improved Primality Proving with Eisenstein Pseudocubes.- Hyperbolic Tessellations Associated to Bianchi Groups.
Series Title: Lecture Notes in Computer Science, 6197.
Responsibility: edited by Guillaume Hanrot, François Morain, Emmanuel Thomé.

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