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024 7 $a10.1007/978-3-642-14518-6
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101 0 $aeng
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200 10$aAlgorithmic Number Theory$b[electronic resource] $e9th International Symposium, ANTS-IX, Nancy, France, July 19-23, 2010, Proceedings /$fedited by Guillaume Hanrot, Francois Morain, Emmanuel Thomé
205   $a1st ed. 2010.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010.
215   $a1 online resource (XI, 397 p. 15 illus.) 
225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v6197
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-14517-5 
320   $aIncludes bibliographical references and index.
327   $aInvited papers -- Putting the Hodge and Tate Conjectures to the Test -- Curves of Genus 3 with a Group of Automorphisms Isomorphic to S3 -- Learning with Errors over Rings -- Lattices and Spherical Designs -- Fixed Points for Discrete Logarithms -- Contributed papers -- Explicit Coleman Integration for Hyperelliptic Curves -- Smallest Reduction Matrix of Binary Quadratic Forms -- Practical Improvements to Class Group and Regulator Computation of Real Quadratic Fields -- On the Use of the Negation Map in the Pollard Rho Method -- An O(M(n) logn) Algorithm for the Jacobi Symbol -- New Families of ECM Curves for Cunningham Numbers -- Visualizing Elements of Sha[3] in Genus 2 Jacobians -- On Weil Polynomials of K3 Surfaces -- Class Invariants by the CRT Method -- Short Bases of Lattices over Number Fields -- On the Complexity of the Montes Ideal Factorization Algorithm -- Congruent Number Theta Coefficients to 1012 -- Pairing the Volcano -- A Subexponential Algorithm for Evaluating Large Degree Isogenies -- Huff?s Model for Elliptic Curves -- Efficient Pairing Computation with Theta Functions -- Small-Span Characteristic Polynomials of Integer Symmetric Matrices -- Decomposition Attack for the Jacobian of a Hyperelliptic Curve over an Extension Field -- Factoring Polynomials over Local Fields II -- On a Problem of Hajdu and Tengely -- Sieving for Pseudosquares and Pseudocubes in Parallel Using Doubly-Focused Enumeration and Wheel Datastructures -- On the Extremality of an 80-Dimensional Lattice -- Computing Automorphic Forms on Shimura Curves over Fields with Arbitrary Class Number -- Improved Primality Proving with Eisenstein Pseudocubes -- Hyperbolic Tessellations Associated to Bianchi Groups.
410  0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v6197
606   $aAlgorithms
606   $aComputer science?Mathematics
606   $aDiscrete mathematics
606   $aCryptography
606   $aData encryption (Computer science)
606   $aNumber theory
606   $aAlgorithms
606   $aDiscrete Mathematics in Computer Science
606   $aCryptology
606   $aSymbolic and Algebraic Manipulation
606   $aNumber Theory
615  0$aAlgorithms.
615  0$aComputer science?Mathematics.
615  0$aDiscrete mathematics.
615  0$aCryptography.
615  0$aData encryption (Computer science).
615  0$aNumber theory.
615 14$aAlgorithms.
615 24$aDiscrete Mathematics in Computer Science.
615 24$aCryptology.
615 24$aSymbolic and Algebraic Manipulation.
615 24$aNumber Theory.
676   $a512.7
702   $aHanrot$b Guillaume$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aMorain$b Francois$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aThomé$b Emmanuel$4edt$4http://id.loc.gov/vocabulary/relators/edt
712 12$aAlgorithmic Number Theory Symposium
906   $aBOOK
912   $a996465804803316
996   $aAlgorithmic Number Theory$9772632
997   $aUNISA