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003 DE-He213
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020 _a9783642145186
_9978-3-642-14518-6
024 7 _a10.1007/978-3-642-14518-6
_2doi
050 4 _aQA76.9.A43
072 7 _aUMB
_2bicssc
072 7 _aCOM051300
_2bisacsh
072 7 _aUMB
_2thema
082 0 4 _a518.1
_223
245 1 0 _aAlgorithmic Number Theory
_h[electronic resource] :
_b9th International Symposium, ANTS-IX, Nancy, France, July 19-23, 2010, Proceedings /
_cedited by Guillaume Hanrot, Francois Morain, Emmanuel Thomé.
250 _a1st ed. 2010.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2010.
300 _aXI, 397 p. 15 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_v6197
505 0 _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.
650 0 _aAlgorithms.
_93390
650 0 _aComputer science
_xMathematics.
_93866
650 0 _aDiscrete mathematics.
_912873
650 0 _aCryptography.
_91973
650 0 _aData encryption (Computer science).
_99168
650 0 _aNumber theory.
_913208
650 1 4 _aAlgorithms.
_93390
650 2 4 _aDiscrete Mathematics in Computer Science.
_931837
650 2 4 _aCryptology.
_931769
650 2 4 _aSymbolic and Algebraic Manipulation.
_955589
650 2 4 _aNumber Theory.
_913208
700 1 _aHanrot, Guillaume.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9143264
700 1 _aMorain, Francois.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9143265
700 1 _aThomé, Emmanuel.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
_9143266
710 2 _aSpringerLink (Online service)
_9143267
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783642145179
776 0 8 _iPrinted edition:
_z9783642145193
830 0 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_v6197
_9143268
856 4 0 _uhttps://doi.org/10.1007/978-3-642-14518-6
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