Bouvier, Cyril; Castagnos, Guilhem; Imbert, Laurent; Laguillaumie, Fabien I want to ride my BICYCL : BICYCL implements cryptography in class groups. (English) Zbl 1517.94070 J. Cryptology 36, No. 3, Paper No. 17, 31 p. (2023). MSC: 94A60 94A62 PDFBibTeX XMLCite \textit{C. Bouvier} et al., J. Cryptology 36, No. 3, Paper No. 17, 31 p. (2023; Zbl 1517.94070) Full Text: DOI
Koberda, Thomas Geometry and combinatorics via right-angled Artin groups. (English) Zbl 07632757 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 475-518 (2022). MSC: 20F36 20F65 05C50 05C45 05C48 05C60 68Q15 03D15 PDFBibTeX XMLCite \textit{T. Koberda}, in: In the tradition of Thurston II. Geometry and groups. Cham: Springer. 475--518 (2022; Zbl 07632757) Full Text: DOI arXiv
Rees, Sarah The development of the theory of automatic groups. (English) Zbl 07632756 Ohshika, Ken’ichi (ed.) et al., In the tradition of Thurston II. Geometry and groups. Cham: Springer. 449-473 (2022). MSC: 20F10 20F36 20F55 20F65 20F67 57M60 03D10 68Q04 PDFBibTeX XMLCite \textit{S. Rees}, in: In the tradition of Thurston II. Geometry and groups. Cham: Springer. 449--473 (2022; Zbl 07632756) Full Text: DOI arXiv
Luo, Qing-bin; Yang, Guo-wu; Wu, Jin-zhao; Lin, Chen Computing the number of the equivalence classes for reversible logic functions. (English) Zbl 1447.81079 Int. J. Theor. Phys. 59, No. 8, 2384-2396 (2020). MSC: 81P68 81P65 20B30 05A19 PDFBibTeX XMLCite \textit{Q.-b. Luo} et al., Int. J. Theor. Phys. 59, No. 8, 2384--2396 (2020; Zbl 1447.81079) Full Text: DOI
Bloomquist, Wade; Wang, Zhenghan On topological quantum computing with mapping class group representations. (English) Zbl 1422.81074 J. Phys. A, Math. Theor. 52, No. 1, Article ID 015301, 23 p. (2019). MSC: 81P68 81V19 PDFBibTeX XMLCite \textit{W. Bloomquist} and \textit{Z. Wang}, J. Phys. A, Math. Theor. 52, No. 1, Article ID 015301, 23 p. (2019; Zbl 1422.81074) Full Text: DOI arXiv
Springer, Caleb Computing the endomorphism ring of an ordinary abelian surface over a finite field. (English) Zbl 1470.11175 J. Number Theory 202, 430-457 (2019). MSC: 11G25 11Y40 PDFBibTeX XMLCite \textit{C. Springer}, J. Number Theory 202, 430--457 (2019; Zbl 1470.11175) Full Text: DOI arXiv
Biasse, Jean-François Approximate short vectors in ideal lattices of \(\mathbb{Q}(\zeta_{p^e})\) with precomputation of \({\mathrm {Cl}}(\mathcal{O}_K)\). (English) Zbl 1384.94035 Adams, Carlisle (ed.) et al., Selected areas in cryptography – SAC 2017. 24th international conference, Ottawa, ON, Canada, August 16–18, 2017. Revised selected papers. Cham: Springer (ISBN 978-3-319-72564-2/pbk; 978-3-319-72565-9/ebook). Lecture Notes in Computer Science 10719, 374-393 (2018). MSC: 94A60 81P94 81P68 PDFBibTeX XMLCite \textit{J.-F. Biasse}, Lect. Notes Comput. Sci. 10719, 374--393 (2018; Zbl 1384.94035) Full Text: DOI
Calvez, Matthieu Fast Nielsen-Thurston classification of braids. (English) Zbl 1315.20038 Algebr. Geom. Topol. 14, No. 3, 1745-1758 (2014). Reviewer: Daciberg Lima Gonçalves (São Paulo) MSC: 20F36 20F10 20F65 68W30 PDFBibTeX XMLCite \textit{M. Calvez}, Algebr. Geom. Topol. 14, No. 3, 1745--1758 (2014; Zbl 1315.20038) Full Text: DOI arXiv
Hulpke, Alexander Computing generators of groups preserving a bilinear form over residue class rings. (English) Zbl 1264.20050 J. Symb. Comput. 50, 298-307 (2013). Reviewer: Nan Ji-Zhu (Dalian) MSC: 20H25 11E57 20F05 68W30 20-04 11E08 PDFBibTeX XMLCite \textit{A. Hulpke}, J. Symb. Comput. 50, 298--307 (2013; Zbl 1264.20050) Full Text: DOI
Aubry, Philippe; Valibouze, Annick Parallel computation of resolvents by multimodular techniques and decomposition formula. (English) Zbl 1282.12005 Int. J. Algebra Comput. 22, No. 5, Article ID 1250043, 21 p. (2012). MSC: 12Y05 12F10 12E10 PDFBibTeX XMLCite \textit{P. Aubry} and \textit{A. Valibouze}, Int. J. Algebra Comput. 22, No. 5, Article ID 1250043, 21 p. (2012; Zbl 1282.12005) Full Text: DOI
Bisson, Gaetan; Sutherland, Andrew V. A low-memory algorithm for finding short product representations in finite groups. (English) Zbl 1246.20031 Des. Codes Cryptography 63, No. 1, 1-13 (2012). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20D60 11B83 11G20 11R29 11T99 20-04 68W30 PDFBibTeX XMLCite \textit{G. Bisson} and \textit{A. V. Sutherland}, Des. Codes Cryptography 63, No. 1, 1--13 (2012; Zbl 1246.20031) Full Text: DOI arXiv
Holt, Derek F.; Roney-Dougal, Colva M. Constructing maximal subgroups of orthogonal groups. (English) Zbl 1225.20039 LMS J. Comput. Math. 13, 164-191 (2010). MSC: 20G40 20-04 68W30 20H30 20D06 20E28 68Q25 PDFBibTeX XMLCite \textit{D. F. Holt} and \textit{C. M. Roney-Dougal}, LMS J. Comput. Math. 13, 164--191 (2010; Zbl 1225.20039) Full Text: DOI
Horie, Kuniaki; Horie, Mitsuko The ideal class group of the \(Z_{23}\)-extension over the rational field. (English) Zbl 1234.11146 Proc. Japan Acad., Ser. A 85, No. 10, 155-159 (2009). Reviewer: Tauno Metsänkylä (Turku) MSC: 11R23 11R20 11R29 11Y40 PDFBibTeX XMLCite \textit{K. Horie} and \textit{M. Horie}, Proc. Japan Acad., Ser. A 85, No. 10, 155--159 (2009; Zbl 1234.11146) Full Text: DOI
Carlson, Jon F.; Neunhöffer, Max; Roney-Dougal, Colva M. A polynomial-time reduction algorithm for groups of semilinear or subfield class. (English) Zbl 1219.20001 J. Algebra 322, No. 3, 613-637 (2009). Reviewer: John D. Dixon (Ottawa) MSC: 20-04 20G40 68W30 20H20 PDFBibTeX XMLCite \textit{J. F. Carlson} et al., J. Algebra 322, No. 3, 613--637 (2009; Zbl 1219.20001) Full Text: DOI
Schoof, René Computing Arakelov class groups. (English) Zbl 1188.11076 Buhler, J. P. (ed.) et al., Algorithmic number theory. Lattices, number fields, curves and cryptography. Cambridge: Cambridge University Press (ISBN 978-0-521-80854-5/hbk). Mathematical Sciences Research Institute Publications 44, 447-495 (2008). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 14G40 PDFBibTeX XMLCite \textit{R. Schoof}, Math. Sci. Res. Inst. Publ. 44, 447--495 (2008; Zbl 1188.11076) Full Text: arXiv
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert Ordering braids. (English) Zbl 1163.20024 Mathematical Surveys and Monographs 148. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4431-1/hbk). ix, 323 p. (2008). Reviewer: Lee P. Neuwirth (Princeton) MSC: 20F36 20F60 20-02 03E10 20F34 20F10 20F38 57M25 57M50 51M09 68Q25 68Q70 68W30 20F05 20N02 06F15 PDFBibTeX XMLCite \textit{P. Dehornoy} et al., Ordering braids. Providence, RI: American Mathematical Society (AMS) (2008; Zbl 1163.20024)
Kohl, Stefan Algorithms for a class of infinite permutation groups. (English) Zbl 1155.20003 J. Symb. Comput. 43, No. 8, 545-581 (2008). Reviewer: Alexander Hulpke (Fort Collins) MSC: 20B40 68W30 11B83 PDFBibTeX XMLCite \textit{S. Kohl}, J. Symb. Comput. 43, No. 8, 545--581 (2008; Zbl 1155.20003) Full Text: DOI
Diaz y Diaz, Francisco; Jaulent, Jean-François; Pauli, Sebastian; Pohst, Michael; Soriano-Gafiuk, Florence A new algorithm for the computation of logarithmic \(\ell\)-class groups of number fields. (English) Zbl 1148.11060 Exp. Math. 14, No. 1, 65-74 (2005). MSC: 11Y40 11R70 11R29 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} et al., Exp. Math. 14, No. 1, 65--74 (2005; Zbl 1148.11060) Full Text: DOI arXiv Euclid EuDML
Malyutin, A. V. Fast algorithms for identification and comparison of braids. (English. Russian original) Zbl 1070.20044 J. Math. Sci., New York 119, No. 1, 101-111 (2004); translation from Zap. Nauchn. Semin. POMI 279, 197-217 (2001). MSC: 20F36 20F10 57Q25 57M05 68W30 PDFBibTeX XMLCite \textit{A. V. Malyutin}, J. Math. Sci., New York 119, No. 1, 101--111 (2001; Zbl 1070.20044); translation from Zap. Nauchn. Semin. POMI 279, 197--217 (2001) Full Text: DOI
Litim, Daniel F. Mind the gap. (English) Zbl 0980.81037 Int. J. Mod. Phys. A 16, No. 11, 2081-2087 (2001). MSC: 81T17 81T15 PDFBibTeX XMLCite \textit{D. F. Litim}, Int. J. Mod. Phys. A 16, No. 11, 2081--2087 (2001; Zbl 0980.81037) Full Text: DOI arXiv
Buchmann, Johannes; Weber, Damian Discrete logarithms: Recent progress. (English) Zbl 1032.11061 Buchmann, Johannes (ed.) et al., Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 42-56 (2000). MSC: 11Y16 94A60 PDFBibTeX XMLCite \textit{J. Buchmann} and \textit{D. Weber}, in: Coding theory, cryptography and related areas. Proceedings of an international conference, Guanajuato, Mexico, April 1998. Berlin: Springer. 42--56 (2000; Zbl 1032.11061)
Diaz y Diaz, F.; Soriano, F. Algorithmic approach to logarithmic class groups. (Approche algorithmique du groupe des classes logarithmiques.) (French) Zbl 0930.11079 J. Number Theory 76, No. 1, 1-15 (1999). Reviewer: Jean-François Jaulent (Talence) MSC: 11R29 11Y40 11R70 PDFBibTeX XMLCite \textit{F. Diaz y Diaz} and \textit{F. Soriano}, J. Number Theory 76, No. 1, 1--15 (1999; Zbl 0930.11079) Full Text: DOI
Vera-López, Antonio; Arregi, J. M.; García Sánchez, M. Asun; Esteban-Romero, Ramón; Vera-López, F. J. Computational methods applied to the computation of bounds for the degree of commutativity of \(p\)-groups of maximal class. (Spanish) Zbl 1002.20015 Alonso, M. E. (ed.) et al., EACA-98. 4th meeting on computational algebra and applications, Sigüenza, Spain, September 14-16, 1998. Alcalá: Univ. de Alcalá, Departamento de Matemáticas, 143-148 (1998). MSC: 20D15 20D60 20-04 68W30 PDFBibTeX XMLCite \textit{A. Vera-López} et al., in: EACA-98. Cuarto encuentro de algebra computacional y aplicaciones. Sigüenza, 14--16 de Septiembre, 1998. Alcalá: Univ. de Alcalá, Departamento de Matemáticas; Madrid: Univ. Complutense, Departamento de Álgebra. 143--148 (1998; Zbl 1002.20015)
Teske, Edlyn A space efficient algorithm for group structure computation. (English) Zbl 0965.11050 Math. Comput. 67, No. 224, 1637-1663 (1998). MSC: 11Y16 20-04 11R65 11R29 11Y40 68W30 68Q25 PDFBibTeX XMLCite \textit{E. Teske}, Math. Comput. 67, No. 224, 1637--1663 (1998; Zbl 0965.11050) Full Text: DOI
Louboutin, Stéphane Powerful necessary conditions for class number problems. (English) Zbl 0871.11078 Math. Nachr. 183, 173-184 (1997). Reviewer: H.Yokoi (Iwasaki) MSC: 11R29 11R21 PDFBibTeX XMLCite \textit{S. Louboutin}, Math. Nachr. 183, 173--184 (1997; Zbl 0871.11078) Full Text: DOI
Buchmann, Johannes; Jacobson, Michael J. jun.; Teske, Edlyn On some computational problems in finite abelian groups. (English) Zbl 0894.11050 Math. Comput. 66, No. 220, 1663-1687 (1997). Reviewer: J.Sorenson (Indianapolis) MSC: 11Y16 20K01 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 66, No. 220, 1663--1687 (1997; Zbl 0894.11050) Full Text: DOI
Bosma, Wieb; Stevenhagen, Peter On the computation of quadratic 2-class groups. (English) Zbl 0870.11080 J. Théor. Nombres Bordx. 8, No. 2, 283-313 (1996); erratum ibid. 9, No. 1, 249 (1997). Reviewer: H.Cohn (Bowie) MSC: 11Y40 11R29 11R11 11E16 11E20 PDFBibTeX XMLCite \textit{W. Bosma} and \textit{P. Stevenhagen}, J. Théor. Nombres Bordx. 8, No. 2, 283--313 (1996; Zbl 0870.11080) Full Text: DOI EMIS EuDML Numdam Numdam
Frey, Gerhard; Rück, Hans-Georg A remark concerning \(m\)-divisibility and the discrete logarithm in the divisor class group of curves. (English) Zbl 0813.14045 Math. Comput. 62, No. 206, 865-874 (1994). Reviewer: E. Nart (Barcelona) MSC: 14Q05 14H25 11Y16 11G20 14G15 14C22 PDFBibTeX XMLCite \textit{G. Frey} and \textit{H.-G. Rück}, Math. Comput. 62, No. 206, 865--874 (1994; Zbl 0813.14045) Full Text: DOI
Cohen, Henri A course in computational algebraic number theory. (English) Zbl 0786.11071 Graduate Texts in Mathematics. 138. Berlin: Springer-Verlag. xxi, 534 p. (1993). Reviewer: Michael Pohst (Berlin) MSC: 11Y40 11-02 11Y16 11Y05 11Y11 11Rxx PDFBibTeX XMLCite \textit{H. Cohen}, A course in computational algebraic number theory. Berlin: Springer-Verlag (1993; Zbl 0786.11071)
Buchmann, Johannes (ed.); Ganzinger, Harald (ed.); Paul, Wolfgang J. (ed.) Computer science. Festschrift in honor of Günter Hotz on the occasion of his 60th birthday. (Informatik. Festschrift zum 60. Geburtstag von Günter Hotz.) (German) Zbl 0820.68010 Teubner-Texte zur Informatik. 1. Stuttgart etc.: Teubner. VI, 508 p. (1992). MSC: 68-06 68W10 68Q45 68Q42 PDFBibTeX XMLCite \textit{J. Buchmann} (ed.) et al., Informatik. Festschrift zum 60. Geburtstag von Günter Hotz. Stuttgart etc.: Teubner (1992; Zbl 0820.68010)
Schneider, Gerhard J. A. Dixon’s character table algorithm revisited. (English) Zbl 0701.20002 J. Symb. Comput. 9, No. 5-6, 601-606 (1990). Reviewer: J.D.Dixon MSC: 20C15 20-04 68W30 20C34 PDFBibTeX XMLCite \textit{G. J. A. Schneider}, J. Symb. Comput. 9, No. 5--6, 601--606 (1990; Zbl 0701.20002) Full Text: DOI
Gollan, H. W.; Ostermann, T. W. Operation of class sums on permutation modules. (English) Zbl 0696.20012 J. Symb. Comput. 9, No. 1, 39-47 (1990). Reviewer: W.Willems MSC: 20C20 20-04 68W30 20G05 20D08 20G40 20H30 PDFBibTeX XMLCite \textit{H. W. Gollan} and \textit{T. W. Ostermann}, J. Symb. Comput. 9, No. 1, 39--47 (1990; Zbl 0696.20012) Full Text: DOI
Buchmann, J.; Pohst, M.; Schmettow, J.v. On the computation of unit groups and class groups of totally real quartic fields. (English) Zbl 0714.11002 Math. Comput. 53, No. 187, 387-397 (1989). Reviewer: M.D.Hendy MSC: 11-04 11R16 11Y40 11R27 11R29 11R80 PDFBibTeX XMLCite \textit{J. Buchmann} et al., Math. Comput. 53, No. 187, 387--397 (1989; Zbl 0714.11002) Full Text: DOI
Shahidi, Freydoon Third symmetric power L-functions for GL(2). (English) Zbl 0684.10026 Compos. Math. 70, No. 3, 245-273 (1989). Reviewer: S.J.Patterson MSC: 11F67 11R39 22E55 11F70 PDFBibTeX XMLCite \textit{F. Shahidi}, Compos. Math. 70, No. 3, 245--273 (1989; Zbl 0684.10026) Full Text: Numdam EuDML
Hashimoto, Ki-ichiro; Koseki, Harutaka Class numbers of positive definite binary and ternary unimodular Hermitian forms. (English) Zbl 0668.10030 Tôhoku Math. J., II. Ser. 41, No. 2, 171-216 (1989). Reviewer: H.Koseki MSC: 11E41 11E57 11F70 11E16 11E12 PDFBibTeX XMLCite \textit{K.-i. Hashimoto} and \textit{H. Koseki}, Tôhoku Math. J. (2) 41, No. 2, 171--216 (1989; Zbl 0668.10030) Full Text: DOI
Benninghofen, B.; Richter, M. M. An application of nonstandard methods to computational group theory. (English) Zbl 0657.03049 Nonstandard analysis and its applications, Pap. Conf., Hull/UK 1986, Lond. Math. Soc. Stud. Texts 10, 237-257 (1988). Reviewer: R.A.Herrmann MSC: 03H05 68W30 20F10 PDFBibTeX XML
Sims, Charles C. Verifying nilpotence. (English) Zbl 0626.68034 J. Symb. Comput. 3, 231-247 (1987). MSC: 68W30 20-04 20F05 20E05 20E18 PDFBibTeX XMLCite \textit{C. C. Sims}, J. Symb. Comput. 3, 231--247 (1987; Zbl 0626.68034) Full Text: DOI
Schertz, Reinhard Niedere Potenzen elliptischer Einheiten. (Small powers of elliptic units). (German) Zbl 0615.12013 Class numbers and fundamental units of algebraic number fields, Proc. Int. Conf., Katata/Jap. 1986, 67-88 (1986). MSC: 11R37 11G15 11R23 PDFBibTeX XML
Pohst, Michael; Zassenhaus, Hans Über die Berechnung von Klassenzahlen und Klassengruppen algebraischer Zahlkörper. (German) Zbl 0559.12003 J. Reine Angew. Math. 361, 50-72 (1985). MSC: 11R23 13F05 PDFBibTeX XMLCite \textit{M. Pohst} and \textit{H. Zassenhaus}, J. Reine Angew. Math. 361, 50--72 (1985; Zbl 0559.12003) Full Text: DOI Crelle EuDML
Kaltofen, Erich; Yui, Noriko Explicit construction of the Hilbert class fields of imaginary quadratic fields with class numbers 7 and 11. (English) Zbl 0583.12007 EUROSAM 84, Symbolic and algebraic computation, Proc. int. Symp., Cambridge/Engl. 1984, Lect. Notes Comput. Sci. 174, 310-320 (1984). MSC: 11R37 68W30 11R32 11R11 11R23 PDFBibTeX XML
Pohst, M. On constructive methods in algebraic number theory. (English) Zbl 0547.12005 Topics in classical number theory, Colloq. Budapest 1981, Vol. II, Colloq. Math. Soc. János Bolyai 34, 1251-1263 (1984). Reviewer: C.Levesque MSC: 11R27 11R23 12-04 PDFBibTeX XML
Lagarias, J. C. On the computational complexity of determining the solvability or unsolvability of the equation \(X^2-DY^2=-1\). (English) Zbl 0446.10014 Trans. Am. Math. Soc. 260, 485-508 (1980). MSC: 11D09 11E16 68Q25 03D15 68W99 PDFBibTeX XMLCite \textit{J. C. Lagarias}, Trans. Am. Math. Soc. 260, 485--508 (1980; Zbl 0446.10014) Full Text: DOI
Pohst, M.; Zassenhaus, Hans On unit computation in real quadratic fields. (English) Zbl 0425.12004 Symbolic and algebraic computation, EUROSAM ’79, int. Symp., Marseille 1979, Lect. Notes Comput. Sci. 72, 140-152 (1979). Reviewer: Henri Cohen (Talence) MSC: 11Y40 11R27 11R29 11R11 PDFBibTeX XML
Samuel, Pierre Classes de diviseurs et dérivées logarithmiques. (French) Zbl 0188.33802 Algèbre Théorie Nombres, Sém. P. Dubreil, M.-L. Dubreil-Jacotin, L. Lesieur et C. Pisot 16 (1962/63), Exp. No. 3, 30 p. (1967). MSC: 13-XX PDFBibTeX XML Full Text: Numdam EuDML
Wada, Hideo On the class number and the unit group of certain algebraic number fields. (English) Zbl 0158.30103 J. Fac. Sci., Univ. Tokyo, Sect. I 13, 201-209 (1966). Reviewer: A. Yokoyama MSC: 11R27 11R11 11R29 11R32 PDFBibTeX XMLCite \textit{H. Wada}, J. Fac. Sci., Univ. Tokyo, Sect. I 13, 201--209 (1966; Zbl 0158.30103)