Landquist, Eric; Scheidler, Renate; Stein, Andreas Class number and regulator computation in cubic function fields. arXiv:1601.03309 Preprint, arXiv:1601.03309 [math.NT] (2016). MSC: 11R16 11R58 11R29 11Y16 11Y40 14H05 14Q05 BibTeX Cite \textit{E. Landquist} et al., ``Class number and regulator computation in cubic function fields'', Preprint, arXiv:1601.03309 [math.NT] (2016) Full Text: arXiv OA License
Velichka, M. D.; Jacobson, M. J. jun.; Stein, A. Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. (English) Zbl 1285.14031 Math. Comput. 83, No. 286, 935-963 (2014). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 14G50 11G20 11Y16 11Y40 PDFBibTeX XMLCite \textit{M. D. Velichka} et al., Math. Comput. 83, No. 286, 935--963 (2014; Zbl 1285.14031) Full Text: DOI
Scheidler, Renate; Stein, Andreas Approximating Euler products and class number computation in algebraic function fields. (English) Zbl 1222.11139 Rocky Mt. J. Math. 40, No. 5, 1689-1727 (2010). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11R58 11Y35 11R65 11M38 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Rocky Mt. J. Math. 40, No. 5, 1689--1727 (2010; Zbl 1222.11139) Full Text: DOI
Stein, Andreas Explicit infrastructure for real quadratic function fields and real hyperelliptic curves. (English) Zbl 1243.11109 Glas. Mat., III. Ser. 44, No. 1, 89-126 (2009). MSC: 11R58 11Y16 11Y65 11T71 11M38 PDFBibTeX XMLCite \textit{A. Stein}, Glas. Mat., III. Ser. 44, No. 1, 89--126 (2009; Zbl 1243.11109) Full Text: DOI Link
Scheidler, Renate; Stein, Andreas Class number approximation in cubic function fields. (English) Zbl 1239.11133 Contrib. Discrete Math. 2, No. 2, 107-132 (2007). MSC: 11R58 11M38 11R65 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Contrib. Discrete Math. 2, No. 2, 107--132 (2007; Zbl 1239.11133)
Stein, Andreas; Teske, Edlyn Optimized baby step-giant step methods. (English) Zbl 1122.11086 J. Ramanujan Math. Soc. 20, No. 1, 27-58 (2005). Reviewer: Harvey Cohn (Laguna Woods) MSC: 11Y16 11R58 PDFBibTeX XMLCite \textit{A. Stein} and \textit{E. Teske}, J. Ramanujan Math. Soc. 20, No. 1, 27--58 (2005; Zbl 1122.11086)
Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas Hyperelliptic curves and cryptography. (English) Zbl 1098.94023 van der Poorten, Alf (ed.) et al., High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3353-7/hbk). Fields Institute Communications 41, 255-282 (2004). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 94A60 11R58 11Y16 11Y65 14G50 PDFBibTeX XMLCite \textit{M. Jacobson jun.} et al., Fields Inst. Commun. 41, 255--282 (2004; Zbl 1098.94023)
Stein, Andreas; Teske, Edlyn Explicit bounds and heuristics on class numbers in hyperelliptic function fields. (English) Zbl 0992.11068 Math. Comput. 71, No. 238, 837-861 (2002). Reviewer: Bjorn Poonen (Berkeley) MSC: 11Y16 11Y40 11R29 11R58 11M38 11R65 PDFBibTeX XMLCite \textit{A. Stein} and \textit{E. Teske}, Math. Comput. 71, No. 238, 837--861 (2002; Zbl 0992.11068) Full Text: DOI
Stein, Andreas; Teske, Edlyn The parallelized Pollard kangaroo method in real quadratic function fields. (English) Zbl 0992.11069 Math. Comput. 71, No. 238, 793-814 (2002). Reviewer: Bjorn Poonen (Berkeley) MSC: 11Y16 11Y40 11R29 11R58 14H05 PDFBibTeX XMLCite \textit{A. Stein} and \textit{E. Teske}, Math. Comput. 71, No. 238, 793--814 (2002; Zbl 0992.11069) Full Text: DOI
Jacobson, Michael; Menezes, Alfred; Stein, Andreas Solving elliptic curve discrete logarithm problems using Weil descent. (English) Zbl 1017.11030 J. Ramanujan Math. Soc. 16, No. 3, 231-260 (2001). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11G20 14G50 11Y16 PDFBibTeX XMLCite \textit{M. Jacobson} et al., J. Ramanujan Math. Soc. 16, No. 3, 231--260 (2001; Zbl 1017.11030)
Scheidler, R.; Stein, A. Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. (English) Zbl 1042.11068 Math. Comput. 69, No. 231, 1245-1266 (2000). MSC: 11R16 11R27 11R58 11-04 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Math. Comput. 69, No. 231, 1245--1266 (2000; Zbl 1042.11068) Full Text: DOI
Jacobson, Michael J.; Koblitz, Neal; Silverman, Joseph H.; Stein, Andreas; Teske, Edlyn Analysis of the Xedni calculus attack. (English) Zbl 0948.11048 Des. Codes Cryptography 20, No. 1, 41-64 (2000). Reviewer: Franck Leprévost (Berlin) MSC: 11Y16 94A60 14Q05 11G05 PDFBibTeX XMLCite \textit{M. J. Jacobson} et al., Des. Codes Cryptography 20, No. 1, 41--64 (2000; Zbl 0948.11048) Full Text: DOI
Stein, Andreas; Williams, Hugh C. Some methods for evaluating the regulator of a real quadratic function field. (English) Zbl 0987.11071 Exp. Math. 8, No. 2, 119-133 (1999). Reviewer: Horst G.Zimmer (Saarbrücken) MSC: 11R58 11Y40 11Y65 12E30 PDFBibTeX XMLCite \textit{A. Stein} and \textit{H. C. Williams}, Exp. Math. 8, No. 2, 119--133 (1999; Zbl 0987.11071) Full Text: DOI Euclid EuDML
Müller, Volker; Stein, Andreas; Thiel, Christoph Computing discrete logarithms in real quadratic congruence function fields of large genus. (English) Zbl 1036.11064 Math. Comput. 68, No. 226, 807-822 (1999). MSC: 11Y16 11R60 11T71 68P25 94A60 PDFBibTeX XMLCite \textit{V. Müller} et al., Math. Comput. 68, No. 226, 807--822 (1999; Zbl 1036.11064) Full Text: DOI
Stein, Andreas; Williams, Hugh C. An improved method of computing the regulator of a real quadratic function field. (English) Zbl 0935.11048 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 607-620 (1998). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 11R27 11R58 11R11 PDFBibTeX XMLCite \textit{A. Stein} and \textit{H. C. Williams}, Lect. Notes Comput. Sci. 1423, 607--620 (1998; Zbl 0935.11048)
Scheidler, Renate; Stein, Andreas Unit computation in purely cubic function fields of unit rank 1. (English) Zbl 0935.11051 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 592-606 (1998). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 11R27 11R16 11R58 PDFBibTeX XMLCite \textit{R. Scheidler} and \textit{A. Stein}, Lect. Notes Comput. Sci. 1423, 592--606 (1998; Zbl 0935.11051)
Paulus, Sachar; Stein, Andreas Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. (English) Zbl 0935.11052 Buhler, J. P. (ed.), Algorithmic number theory. 3rd international symposium, ANTS-III, Portland, OR, USA, June 21-25, 1998. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1423, 576-591 (1998). Reviewer: Claus Fieker (Berlin) MSC: 11Y40 14Q05 11R58 11R29 14G50 PDFBibTeX XMLCite \textit{S. Paulus} and \textit{A. Stein}, Lect. Notes Comput. Sci. 1423, 576--591 (1998; Zbl 0935.11052)
Stein, Andreas Equivalences between elliptic curves and real quadratic congruence function fields. (English) Zbl 0899.11054 J. Théor. Nombres Bordx. 9, No. 1, 75-95 (1997). Reviewer: Ian F.Blake (Palo Alto) MSC: 11R58 11T71 94A60 11Y16 11G05 14H52 PDFBibTeX XMLCite \textit{A. Stein}, J. Théor. Nombres Bordx. 9, No. 1, 75--95 (1997; Zbl 0899.11054) Full Text: DOI Numdam EuDML EMIS
Stein, Andreas Algorithms in real-quadratic congruence function fields. (Algorithmen in reell-quadratischen Kongruenzfunktionenkörpern.) (German) Zbl 0997.11511 Saarbrücken: Univ. des Saarlandes, Mathematisch-Naturwissenschaftliche Fakultät, 216 S. (1996). MSC: 11Y40 11Y16 11R58 94A60 PDFBibTeX XMLCite \textit{A. Stein}, Algorithmen in reell-quadratischen Kongruenzfunktionenkörpern. Saarbrücken: Univ. des Saarlandes, Mathematisch-Naturwissenschaftliche Fakultät (1996; Zbl 0997.11511)
Stein, Andreas Elliptic congruence function fields. (English) Zbl 0899.11055 Cohen, Henri (ed.), Algorithmic number theory. Second international symposium, ANTS-II, Talence, France, May 18-23, 1996. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 1122, 375-384 (1996). Reviewer: Ian F.Blake (Palo Alto) MSC: 11R58 11T71 94A60 11Y16 11G05 14H52 PDFBibTeX XMLCite \textit{A. Stein}, Lect. Notes Comput. Sci. 1122, 375--384 (1996; Zbl 0899.11055)
Stein, Andreas; Zimmer, Horst Günter An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. (English) Zbl 0925.11054 Watt, Stephen M. (ed.), ISSAC ’91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15–17, 1991. New York, NY: ACM Press, 183-184 (1991). MSC: 11Y40 11R27 11R58 PDFBibTeX XMLCite \textit{A. Stein} and \textit{H. G. Zimmer}, in: ISSAC '91. Proceedings of the 1991 international symposium on Symbolic and algebraic computation. Bonn, Germany, July 15--17, 1991. New York, NY: ACM Press. 183--184 (1991; Zbl 0925.11054)