@incollection{Darmon/10, AUTHOR = {Darmon, Henri}, TITLE = {Putting the Hodge and Tate conjectures to the test}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {1-1}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/741q47735ukt3232/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Mestre/10, AUTHOR = {Mestre, Jean-Fran{\c{c}}ois}, TITLE = {Curves of genus 3 with a group of automorphisms isomorphic to $S_3$}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {2-2}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/n560441x127191m4/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Regev/10, AUTHOR = {Regev, Oded}, TITLE = {Learning with errors over rings}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {3-3}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/p3625787500q2tj8/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Nebe/10, AUTHOR = {Nebe, Gabriele}, TITLE = {Lattices and spherical designs}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {4-5}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/05638v7016713783/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Levin-Pomerance-Soundararajan/10, AUTHOR = {Levin, Mariana and Pomerance, Carl and Soundararajan, K.}, TITLE = {Fixed points for discrete logarithms}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {6-15}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/872604v2n4657371/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Balakrishnan-Bradshaw-Kedlaya/10, AUTHOR = {Balakrishnan, Jennifer S. and Bradshaw, Robert W. and Kedlaya, Kiran S.}, TITLE = {Explicit Coleman integration for hyperelliptic curves}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {16-31}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/3428261218634745/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Bernard-Gama/10, AUTHOR = {Bernard, Aurore and Gama, Nicolas}, TITLE = {Smallest reduction matrix of binary quadratic forms: And cryptographic applications}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {32-49}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/4p64q365177kw221/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Biasse-Jacobson/10, AUTHOR = {Biasse, Jean-Fran{\c{c}}ois and Jacobson, Michael J., Jr.}, TITLE = {Practical improvements to class group and regulator computation of real quadratic fields}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {50-65}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/l6q72k55576w23u2/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Bos-Kleinjung-Lenstra/10, AUTHOR = {Bos, Joppe W. and Kleinjung, Thorsten and Lenstra, Arjen K.}, TITLE = {On the use of the negation map in the Pollard rho method}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {66-82}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/252176l235880154/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Brent-Zimmermann/10, AUTHOR = {Brent, Richard P. and Zimmermann, Paul}, TITLE = {An $O(M(n)\log n)$ algorithm for the Jacobi symbol}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {83-95}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/lp23388m67613155/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Brier-Clavier/10, AUTHOR = {Brier, {\'E}ric and Clavier, Christophe}, TITLE = {New families of ECM curves for Cunningham numbers}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {96-109}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/d6r321554080161q/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Bruin-Dahmen/10, AUTHOR = {Bruin, Nils and Dahmen, Sander R.}, TITLE = {Visualizing elements of Sha[3] in genus 2 Jacobians}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {110-125}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/31xg25215v154243/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Elsenhans-Jahnel/10, AUTHOR = {Elsenhans, Andreas-Stephan and Jahnel, J{\"o}rg}, TITLE = {On weil polynomials of $K3$ surfaces}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {126-141}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/kh53183nn32k2545/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Enge-Sutherland/10, AUTHOR = {Enge, Andreas and Sutherland, Andrew V.}, TITLE = {Class invariants by the CRT method}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {142-156}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/47673q6804582r4t/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Fieker-Stehle/10, AUTHOR = {Fieker, Claus and Stehl{\'e}, Damien}, TITLE = {Short bases of lattices over number fields}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {157-173}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/573162r76040w418/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Ford-Veres/10, AUTHOR = {Ford, David and Veres, Olga}, TITLE = {On the complexity of the Montes ideal factorization algorithm}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {174-185}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/l85687443414746l/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Hart-Tornaria-Watkins/10, AUTHOR = {Hart, William B. and Tornar{\'{i}}a, Gonzalo and Watkins, Mark}, TITLE = {Congruent number theta coefficients to 10$^{12}$}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {186-200}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/w137420747upm456/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Ionica-Joux/10, AUTHOR = {Ionica, Sorina and Joux, Antoine}, TITLE = {Pairing the volcano}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {201-218}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/n876228g85j2j3km/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Jao-Soukharev/10, AUTHOR = {Jao, David and Soukharev, Vladimir}, TITLE = {A subexponential algorithm for evaluating large degree isogenies}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {219-233}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/726480228q711123/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Joye-Tibouchi-Vergnaud/10, AUTHOR = {Joye, Marc and Tibouchi, Mehdi and Vergnaud, Damien}, TITLE = {Huff's model for elliptic curves}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {234-250}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/f333452080h07x74/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Lubicz-Robert/10, AUTHOR = {Lubicz, David and Robert, Damien}, TITLE = {Efficient pairing computation with theta functions}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {251-269}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/y45703216qr65216/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{McKee/10, AUTHOR = {McKee, James}, TITLE = {Small-span characteristic polynomials of integer symmetric matrices}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {270-284}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/p8073016812l4787/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Nagao/10, AUTHOR = {Nagao, Koh-ichi}, TITLE = {Decomposition attack for the Jacobian of a hyperelliptic curve over an extension field}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {285-300}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/br04trn647m2237k/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Pauli/10, AUTHOR = {Pauli, Sebastian}, TITLE = {Factoring polynomials over local fields II}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {301-315}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/03454680m58u53p2/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Siksek-Stoll/10, AUTHOR = {Siksek, Samir and Stoll, Michael}, TITLE = {On a problem of Hajdu and Tengely}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {316-330}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/h5164kr427211131/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Sorenson/10a, AUTHOR = {Sorenson, Jonathan P.}, TITLE = {Sieving for pseudosquares and pseudocubes in parallel using doubly-focused enumeration and wheel datastructures}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {331-339}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/185512p48140r332/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Stehle-Watkins/10, AUTHOR = {Stehl{\'e}, Damien and Watkins, Mark}, TITLE = {On the extremality of an 80-dimensional lattice}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {340-356}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/j27208337757lul6/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Voight/10, AUTHOR = {Voight, John}, TITLE = {Computing automorphic forms on Shimura curves over fields with arbitrary class number}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {357-371}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/j2501n6738768176/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Wooding-Williams/10, AUTHOR = {Wooding, Kjell and Williams, H.C.}, TITLE = {Improved primality proving with Eisenstein pseudocubes}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {372-384}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/kl660076627x8072/fulltext.pdf}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg}, } @incollection{Yasaki/10, AUTHOR = {Yasaki, Dan}, TITLE = {Hyperbolic tessellations associated to Bianchi groups}, BOOKTITLE = {Proceedings of the 9th International Symposium on Algorithmic Number Theory, ANTS-IX (Nancy, France, July 19-23, 2010)}, SERIES = {LNCS}, VOLUME = {6197}, PAGES = {385-396}, YEAR = {2010}, EDITOR = {Hanrot, Guillaume and Morain, Fran{\c{c}}ois and Thom{\'e}, Emmanuel}, URL = {http://springerlink.metapress.com/content/b4367638w6j53430/fulltext.pdf" title="Download PDF (209.9 KB)">Download PDF (209.9 KB)
  • Back matter