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

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Hanrot, Guillaume (Επιμελητής έκδοσης), Morain, François (Επιμελητής έκδοσης), Thomé, Emmanuel (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Σειρά: Lecture Notes in Computer Science, 6197
• Θέματα: Computer science.; Data encryption (Computer science).; Algorithms.; Computer science > Mathematics.; Number theory.; Computer Science.; Algorithm Analysis and Problem Complexity.; Discrete Mathematics in Computer Science.; Data Encryption.; Symbolic and Algebraic Manipulation.; Number Theory.

Πίνακας περιεχομένων:

• 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.