@incollection{Elkies/98, AUTHOR = {Elkies, Noam D.}, TITLE = {Shimura curve computations}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {1-47}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Boneh/98, AUTHOR = {Boneh, Dan}, TITLE = {The decision Diffie-Hellman problem}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {48-63}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cesari/98, AUTHOR = {Cesari, Giovanni}, TITLE = {Parallel implementation of Sch{\"o}nhage's integer GCD algorithm}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {64-76}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, URL = {http://springerlink.metapress.com/openurl.asp?genre=article&issn=0302-9743&volume=1423&spage=64}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Vallee/98a, AUTHOR = {Vall{\'{e}}e, Brigitte}, TITLE = {The complete analysis of the binary Euclidean algorithm}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {77-94}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Mihailescu/98, AUTHOR = {Mih{\v{a}}ilescu, Preda}, TITLE = {Cyclotomy primality proving --- Recent developments}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {95-110}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Morain/98, AUTHOR = {Morain, F.}, TITLE = {Primality proving using elliptic curves: An update}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {111-127}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Bernstein/98a, AUTHOR = {Bernstein, Daniel J.}, TITLE = {Bounding smooth integers}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {128-130}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Zhang/98b, AUTHOR = {Zhang, Mingzhi}, TITLE = {Factorization of the numbers of the form $m^3+c_2m^2+c_1m+c_0$}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {131-136}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Murphy/98, AUTHOR = {Murphy, Brian}, TITLE = {Modelling the yield of number field sieve polynomials}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {137-150}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Nguyen/98, AUTHOR = {Nguyen, Phong}, TITLE = {A Montgomery-like square root for the number field sieve}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {151-168}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Galway/98, AUTHOR = {Galway, William F.}, TITLE = {Robert Bennion's ``Hopping Sieve''}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {169-178}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Sorenson/98, AUTHOR = {Sorenson, Jonathan P.}, TITLE = {Trading time for space in prime number sieves}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {179-195}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Deshouillers-Hennecart-Landreau/98, AUTHOR = {Deshouillers, Jean-Marc and Hennecart, Fran{\c{c}}ois and Landreau, Bernard}, TITLE = {Do sums of 4 biquadrates have a positive density?}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {196-203}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Deshouillers-Riele-Saouter/98, AUTHOR = {Deshouillers, J.-M. and Riele, H.J.J. te and Saouter, Y.}, TITLE = {New experimental results concerning the Goldbach conjecture}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {204-215}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Gordon-Rodemich/98, AUTHOR = {Gordon, Daniel M. and Rodemich, Gene}, TITLE = {Dense admissible sets}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {216-225}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Panario-Gourdon-Flajolet/98, AUTHOR = {Panario, Daniel and Gourdon, Xavier and Flajolet, Philippe}, TITLE = {An analytic approach to smooth polynomials over finite fields}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {226-236}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Boneh-Horwitz/98, AUTHOR = {Boneh, Dan and Horwitz, Jeremy}, TITLE = {Generating a product of three primes with an unknown factorization}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {237-251}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{de_Win-Mister-Preneel-Wiener/98, AUTHOR = {de Win, Erik and Mister, Serge and Preneel, Bart and Wiener, Michael}, TITLE = {On the performance of signature schemes based on elliptic curves}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {252-266}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Hoffstein-Pipher-Silverman/98, AUTHOR = {Hoffstein, Jeffrey and Pipher, Jill and Silverman, Joseph H.}, TITLE = {NTRU: A ring-based public key cryptosystem}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {267-288}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Young-Yung/98, AUTHOR = {Young, Adam and Yung, Moti}, TITLE = {Finding length-3 positive Cunningham chains and their cryptographic significance}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {289-298}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Neis/98, AUTHOR = {Neis, Stefan}, TITLE = {Reducing ideal arithmetic to linear algebra problems}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {299-310}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Semaev/98, AUTHOR = {Semaev, I.A.}, TITLE = {Evaluation of linear relations between vectors of a lattice in Euclidean space}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {311-322}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Wetzel/98, AUTHOR = {Wetzel, Susanne}, TITLE = {An efficient parallel block-reduction algorithm}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {323-337}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Haible-Papanikolaou/98, AUTHOR = {Haible, Bruno and Papanikolaou, Thomas}, TITLE = {Fast multiprecision evaluation of series of rational numbers}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {338-350}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Teske-Williams/98, AUTHOR = {Teske, E. and Williams, H.C.}, TITLE = {A problem concerning a character sum}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {351-357}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{van_der_Poorten/98, AUTHOR = {van der Poorten, Alf}, TITLE = {Formal power series and their continued fraction expansion}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {358-371}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cohen-Diaz_y_Diaz-Olivier/98, AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel}, TITLE = {Imprimitive octic fields with small discriminants}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {372-380}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cohen-Diaz_y_Diaz-Olivier/98a, AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel}, TITLE = {A table of totally complex number fields of small discriminats}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {381-391}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{de_Smit/98, AUTHOR = {de Smit, Bart}, TITLE = {Generating arithmetically equivalent number fields with elliptic curves}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {392-399}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Dummit-Tangedal/98, AUTHOR = {Dummit, David S. and Tangedal, Brett A.}, TITLE = {Computing the lead term of an Abelian $L$-function}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {400-411}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Jones-Roberts/98, AUTHOR = {Jones, John W. and Roberts, David P.}, TITLE = {Timing analysis of targeted Hunter searches}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {412-423}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Martinet/98, AUTHOR = {Martinet, Jacques}, TITLE = {On successive minima of rings of algebraic integers}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {424-432}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Cohen-Diaz_y_Diaz-Olivier/98b, AUTHOR = {Cohen, Henri and Diaz y Diaz, Francisco and Olivier, Michel}, TITLE = {Computation of relative quadratic class groups}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {433-440}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Gee-Stevenhagen/98, AUTHOR = {Gee, Alice and Stevenhagen, Peter}, TITLE = {Generating class fields using Shimura reciprocity}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {441-453}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Holden/98, AUTHOR = {Holden, Joshua}, TITLE = {Irregularity of prime numbers over real quadratic fields}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {454-462}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Jacobson/98, AUTHOR = {Jacobson, Michael J., Jr.}, TITLE = {Experimental results on class groups of real quadratic fields}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {463-474}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Louboutin/98, AUTHOR = {Louboutin, St{\'{e}}phane}, TITLE = {Computation of relative class numbers of imaginary cyclic fields of 2-power degrees}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {475-481}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Bluher/98, AUTHOR = {Bluher, Antonia W.}, TITLE = {Formal groups, elliptic curves, and some theorems of Couveignes}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {482-501}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Djabri-Smart/98, AUTHOR = {Djabri, Z. and Smart, N.P.}, TITLE = {A comparison of direct and indirect methods for computing Selmer groups of an elliptic curve}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {502-513}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Huang-Wong/98, AUTHOR = {Huang, Ming-Deh and Wong, Yiu-Chung}, TITLE = {An algorithm for approximate counting of points on algebraic sets over finite fields}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {514-527}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Petho-Herrmann-Zimmer/98, AUTHOR = {Peth\H{o}, A. and Herrmann, E. and Zimmer, H.G.}, TITLE = {$S$-integral points on elliptic curves and Fermat's triple equations}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {528-540}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Teske/98, AUTHOR = {Teske, Edlyn}, TITLE = {Speeding up Pollard's rho method for computing discrete logarithms}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {541-554}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Niederreiter-Xing/98, AUTHOR = {Niederreiter, Harald and Xing, Chaoping}, TITLE = {A general method of constructing global function fields with many rational places}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {555-566}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Paulus/98, AUTHOR = {Paulus, Sachar}, TITLE = {Lattice basis reduction in function fields}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {567-575}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Paulus-Stein/98, AUTHOR = {Paulus, Sachar and Stein, Andreas}, TITLE = {Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {576-591}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Scheidler-Stein/98, AUTHOR = {Scheidler, Renate and Stein, Andreas}, TITLE = {Unit computation in purely cubic function fields of unit rank 1}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {592-606}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Stein-Williams/98, AUTHOR = {Stein, Andreas and Williams, Hugh C.}, TITLE = {An improved method of computing the regulator of a real quadratic function field}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {607-620}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, } @incollection{Zuccherato/98, AUTHOR = {Zuccherato, Robert J.}, TITLE = {The equivalence between elliptic curve and quadratic function field discrete logarithms in characteristic 2}, BOOKTITLE = {Proceedings of the 3rd International Symposium on Algorithmmic Number Theory, ANTS'98 (Portland, Oregon, June 21-25, 1998)}, SERIES = {LNCS}, VOLUME = {1423}, PAGES = {621-638}, YEAR = {1998}, EDITOR = {Buhler, J.P.}, PUBLISHER = {Springer-Verlag}, ADDRESS = {Berlin-Heidelberg-New York-Barcelona-Budapest-Hong Kong-London-Milan-Paris-Singapore-Tokyo}, }