Algorithmic Number Theory  9th International Symposium, ANTS-IX, Nancy, France, July 19-23, 2010, Proceedings /  [electronic resource] : 
edited by Guillaume Hanrot, Francois Morain, Emmanuel Thomé. 
 - 1st ed. 2010. 
 - XI, 397 p. 15 illus.  online resource. 
 - Theoretical Computer Science and General Issues,  6197  2512-2029 ; .
 - Theoretical Computer Science and General Issues,  6197 .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9783642145186 
<br/><br/><label>Standard No.: </label>10.1007/978-3-642-14518-6  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Algorithms.<br/>Computer science--Mathematics.<br/>Discrete mathematics.<br/>Cryptography.<br/>Data encryption (Computer science).<br/>Number theory.<br/>Algorithms.<br/>Discrete Mathematics in Computer Science.<br/>Cryptology.<br/>Symbolic and Algebraic Manipulation.<br/>Number Theory.
<br/><br/><label>LC Class. No.: </label>QA76.9.A43 
<br/><br/><label>Dewey Class. No.: </label>518.1