Biasse, Jean-François; Fieker, Claus; Jacobson, Michael J. Fast heuristic algorithms for computing relations in the class group of a quadratic order, with applications to isogeny evaluation. (English) Zbl 1391.11160 LMS J. Comput. Math. 19A, Spec. Iss., 371-390 (2016). MSC: 11Y16 11Y40 11R11 11R29 14K02 PDFBibTeX XMLCite \textit{J.-F. Biasse} et al., LMS J. Comput. Math. 19A, 371--390 (2016; Zbl 1391.11160) Full Text: DOI
Gaudry, Pierrick; Grémy, Laurent; Videau, Marion Collecting relations for the number field sieve in \(\text{GF}(p^6)\). (English) Zbl 1391.11161 LMS J. Comput. Math. 19A, Spec. Iss., 332-350 (2016). MSC: 11Y16 11T71 11Y40 11-04 94A60 PDFBibTeX XMLCite \textit{P. Gaudry} et al., LMS J. Comput. Math. 19A, 332--350 (2016; Zbl 1391.11161) Full Text: DOI
Gélin, Alexandre; Joux, Antoine Reducing number field defining polynomials: an application to class group computations. (English) Zbl 1391.11163 LMS J. Comput. Math. 19A, Spec. Iss., 315-331 (2016). MSC: 11Y40 11R21 11R29 PDFBibTeX XMLCite \textit{A. Gélin} and \textit{A. Joux}, LMS J. Comput. Math. 19A, 315--331 (2016; Zbl 1391.11163) Full Text: DOI
van Vredendaal, Christine Reduced memory meet-in-the-middle attack against the NTRU private key. (English) Zbl 1391.94827 LMS J. Comput. Math. 19A, Spec. Iss., 43-57 (2016). MSC: 94A60 11T71 11Y16 68Q25 PDFBibTeX XMLCite \textit{C. van Vredendaal}, LMS J. Comput. Math. 19A, 43--57 (2016; Zbl 1391.94827) Full Text: DOI
Bassa, Alp; Beelen, Peter; Nguyen, Nhut Good families of Drinfeld modular curves. (English) Zbl 1397.11099 LMS J. Comput. Math. 18, 699-712 (2015). MSC: 11G09 14H05 14H10 11R58 14Q05 PDFBibTeX XMLCite \textit{A. Bassa} et al., LMS J. Comput. Math. 18, 699--712 (2015; Zbl 1397.11099) Full Text: DOI arXiv
Bruin, Peter; Najman, Filip Hyperelliptic modular curves \(X_0(n)\) and isogenies of elliptic curves over quadratic fields. (English) Zbl 1397.11089 LMS J. Comput. Math. 18, 578-602 (2015). MSC: 11G05 11G18 11-04 14G25 PDFBibTeX XMLCite \textit{P. Bruin} and \textit{F. Najman}, LMS J. Comput. Math. 18, 578--602 (2015; Zbl 1397.11089) Full Text: DOI arXiv
Miller, John C. Class numbers of real cyclotomic fields of composite conductor. (English) Zbl 1300.11109 LMS J. Comput. Math. 17A, Spec. Iss., 404-417 (2014). Reviewer: Roland Quême (Brax) MSC: 11R18 11R29 11R37 11R80 11Y40 PDFBibTeX XMLCite \textit{J. C. Miller}, LMS J. Comput. Math. 17A, 404--417 (2014; Zbl 1300.11109) Full Text: DOI
Biasse, Jean-François; Fieker, Claus Subexponential class group and unit group computation in large degree number fields. (English) Zbl 1369.11103 LMS J. Comput. Math. 17A, Spec. Iss., 385-403 (2014). MSC: 11Y40 11R29 11R27 PDFBibTeX XMLCite \textit{J.-F. Biasse} and \textit{C. Fieker}, LMS J. Comput. Math. 17A, 385--403 (2014; Zbl 1369.11103) Full Text: DOI
Page, A. An algorithm for the principal ideal problem in indefinite quaternion algebras. (English) Zbl 1369.11105 LMS J. Comput. Math. 17A, Spec. Iss., 366-384 (2014). MSC: 11Y40 11R52 11R65 PDFBibTeX XMLCite \textit{A. Page}, LMS J. Comput. Math. 17A, 366--384 (2014; Zbl 1369.11105) Full Text: DOI arXiv
Fieker, Claus; Hofmann, Tommy Computing in quotients of rings of integers. (English) Zbl 1369.11104 LMS J. Comput. Math. 17A, Spec. Iss., 349-365 (2014). MSC: 11Y40 11-04 13F07 PDFBibTeX XMLCite \textit{C. Fieker} and \textit{T. Hofmann}, LMS J. Comput. Math. 17A, 349--365 (2014; Zbl 1369.11104) Full Text: DOI arXiv
Küçüksakallı, Ömer On the units generated by Weierstrass forms. (English) Zbl 1296.11069 LMS J. Comput. Math. 17A, Spec. Iss., 303-313 (2014). MSC: 11G16 11R29 11Y40 PDFBibTeX XMLCite \textit{Ö. Küçüksakallı}, LMS J. Comput. Math. 17A, 303--313 (2014; Zbl 1296.11069) Full Text: DOI
Caruso, Xavier; Roe, David; Vaccon, Tristan Tracking \(p\)-adic precision. (English) Zbl 1369.68357 LMS J. Comput. Math. 17A, Spec. Iss., 274-294 (2014). MSC: 68W30 11Y16 11S99 65Y04 PDFBibTeX XMLCite \textit{X. Caruso} et al., LMS J. Comput. Math. 17A, 274--294 (2014; Zbl 1369.68357) Full Text: DOI arXiv
Barbulescu, Razvan; Pierrot, Cécile The multiple number field sieve for medium- and high-characteristic finite fields. (English) Zbl 1369.11096 LMS J. Comput. Math. 17A, Spec. Iss., 230-246 (2014). MSC: 11T71 11Y16 PDFBibTeX XMLCite \textit{R. Barbulescu} and \textit{C. Pierrot}, LMS J. Comput. Math. 17A, 230--246 (2014; Zbl 1369.11096) Full Text: DOI
Cheng, Qi; Wan, Daqing; Zhuang, Jincheng Traps to the BGJT-algorithm for discrete logarithms. (English) Zbl 1369.11101 LMS J. Comput. Math. 17A, Spec. Iss., 218-229 (2014). MSC: 11Y16 11T71 PDFBibTeX XMLCite \textit{Q. Cheng} et al., LMS J. Comput. Math. 17A, 218--229 (2014; Zbl 1369.11101) Full Text: DOI arXiv
Petit, Christophe Finding roots in \(\mathbb F_{p^n}\) with the successive resultants algorithm. (English) Zbl 1296.11166 LMS J. Comput. Math. 17A, Spec. Iss., 203-217 (2014). MSC: 11Y16 11T71 11T06 11T55 PDFBibTeX XMLCite \textit{C. Petit}, LMS J. Comput. Math. 17A, 203--217 (2014; Zbl 1296.11166) Full Text: DOI
Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai Constructing abelian surfaces for cryptography via Rosenhain invariants. (English) Zbl 1296.11067 LMS J. Comput. Math. 17A, Spec. Iss., 157-180 (2014). MSC: 11G10 11R37 11G15 11G20 11T71 11Y16 PDFBibTeX XMLCite \textit{C. Costello} et al., LMS J. Comput. Math. 17A, 157--180 (2014; Zbl 1296.11067) Full Text: DOI
Blackburn, Simon R.; Scott, Sam The discrete logarithm problem for exponents of bounded height. (English) Zbl 1369.11097 LMS J. Comput. Math. 17A, Spec. Iss., 148-156 (2014). MSC: 11T71 11Y16 94A60 PDFBibTeX XMLCite \textit{S. R. Blackburn} and \textit{S. Scott}, LMS J. Comput. Math. 17A, 148--156 (2014; Zbl 1369.11097) Full Text: DOI
Chevyrev, Ilya; Galbraith, Steven D. Constructing supersingular elliptic curves with a given endomorphism ring. (English) Zbl 1326.11029 LMS J. Comput. Math. 17A, Spec. Iss., 71-91 (2014). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11G20 11Y16 11R52 11E20 11H55 14G15 PDFBibTeX XMLCite \textit{I. Chevyrev} and \textit{S. D. Galbraith}, LMS J. Comput. Math. 17A, 71--91 (2014; Zbl 1326.11029) Full Text: DOI arXiv
Zeng, Jinxiang Computing Galois representations of modular abelian surfaces. (English) Zbl 1369.11106 LMS J. Comput. Math. 17A, Spec. Iss., 36-48 (2014). MSC: 11Y40 11F80 11G18 11G20 PDFBibTeX XMLCite \textit{J. Zeng}, LMS J. Comput. Math. 17A, 36--48 (2014; Zbl 1369.11106) Full Text: DOI
Caruso, Xavier; Lubicz, David Linear algebra over \(\mathbb Z_p[[u]]\) and related rings. (English) Zbl 1360.13031 LMS J. Comput. Math. 17, 302-344 (2014). MSC: 13C99 11Y40 13F25 13P99 PDFBibTeX XMLCite \textit{X. Caruso} and \textit{D. Lubicz}, LMS J. Comput. Math. 17, 302--344 (2014; Zbl 1360.13031) Full Text: DOI arXiv
Hichri, Hachem On the beta expansion of Salem numbers of degree 8. (English) Zbl 1293.11083 LMS J. Comput. Math. 17, 289-301 (2014). MSC: 11K16 11R06 11Y99 PDFBibTeX XMLCite \textit{H. Hichri}, LMS J. Comput. Math. 17, 289--301 (2014; Zbl 1293.11083) Full Text: DOI
Fieker, Claus; Klüners, Jürgen Computation of Galois groups of rational polynomials. (English) Zbl 1326.11070 LMS J. Comput. Math. 17, 141-158 (2014). Reviewer: Michael J. Jacobson jun. (Calgary) MSC: 11R32 13B05 11Y40 PDFBibTeX XMLCite \textit{C. Fieker} and \textit{J. Klüners}, LMS J. Comput. Math. 17, 141--158 (2014; Zbl 1326.11070) Full Text: DOI arXiv
Enge, Andreas; Schertz, Reinhard Singular values of multiple eta-quotients for ramified primes. (English) Zbl 1302.14040 LMS J. Comput. Math. 16, 407-418 (2013). Reviewer: G. K. Sankaran (Bath) MSC: 14K22 11G15 11Y40 PDFBibTeX XMLCite \textit{A. Enge} and \textit{R. Schertz}, LMS J. Comput. Math. 16, 407--418 (2013; Zbl 1302.14040) Full Text: DOI arXiv
Citro, Craig; Ghitza, Alexandru Computing level one Hecke eigensystems (mod \(p\)). (English) Zbl 1294.11052 LMS J. Comput. Math. 16, 246-270 (2013). MSC: 11F11 11F25 11F33 11F80 11Y40 PDFBibTeX XMLCite \textit{C. Citro} and \textit{A. Ghitza}, LMS J. Comput. Math. 16, 246--270 (2013; Zbl 1294.11052) Full Text: DOI arXiv
Bauch, Jens-Dietrich; Nart, Enric; Stainsby, Hayden D. Complexity of OM factorizations of polynomials over local fields. (English) Zbl 1343.11099 LMS J. Comput. Math. 16, 139-171 (2013). MSC: 11Y40 11Y05 12J10 13F30 13P15 PDFBibTeX XMLCite \textit{J.-D. Bauch} et al., LMS J. Comput. Math. 16, 139--171 (2013; Zbl 1343.11099) Full Text: DOI arXiv
Jones, John W. Minimal solvable nonic fields. (English) Zbl 1343.11100 LMS J. Comput. Math. 16, 130-138 (2013). MSC: 11Y40 11R21 12F10 PDFBibTeX XMLCite \textit{J. W. Jones}, LMS J. Comput. Math. 16, 130--138 (2013; Zbl 1343.11100) Full Text: DOI
Diem, Claus On the use of expansion series for stream ciphers. (English) Zbl 1344.11086 LMS J. Comput. Math. 15, 326-340 (2012). MSC: 11Y16 11T71 14G50 68Q25 94A60 PDFBibTeX XMLCite \textit{C. Diem}, LMS J. Comput. Math. 15, 326--340 (2012; Zbl 1344.11086) Full Text: DOI
Arene, Christophe; Kohel, David; Ritzenthaler, Christophe Complete addition laws on abelian varieties. (English) Zbl 1316.11052 LMS J. Comput. Math. 15, 308-316 (2012). Reviewer: Maciej Ulas (Kraków) MSC: 11G20 14K15 11T71 PDFBibTeX XMLCite \textit{C. Arene} et al., LMS J. Comput. Math. 15, 308--316 (2012; Zbl 1316.11052) Full Text: DOI arXiv
Dunand, Clément On modular inverses of cyclotomic polynomials and the magnitude of their coefficients. (English) Zbl 1294.11193 LMS J. Comput. Math. 15, 44-58 (2012). MSC: 11R18 11T71 PDFBibTeX XMLCite \textit{C. Dunand}, LMS J. Comput. Math. 15, 44--58 (2012; Zbl 1294.11193) Full Text: DOI arXiv
Smith, Benjamin Families of explicitly isogenous jacobians of variable-separated curves. (English) Zbl 1230.14064 LMS J. Comput. Math. 14, 179-199 (2011). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14K02 14H40 11G30 11Y99 PDFBibTeX XMLCite \textit{B. Smith}, LMS J. Comput. Math. 14, 179--199 (2011; Zbl 1230.14064) Full Text: DOI arXiv
Bröker, Reinier \(p\)-adic class invariants. (English) Zbl 1269.11058 LMS J. Comput. Math. 14, 108-126 (2011). MSC: 11G15 11Y40 11R54 PDFBibTeX XMLCite \textit{R. Bröker}, LMS J. Comput. Math. 14, 108--126 (2011; Zbl 1269.11058) Full Text: DOI
Hare, Kevin G.; Sidorov, Nikita A lower bound for Garsia’s entropy for certain Bernoulli convolutions. (English) Zbl 1278.11075 LMS J. Comput. Math. 13, 130-143 (2010). MSC: 11K16 11R06 26A30 28D20 37A45 PDFBibTeX XMLCite \textit{K. G. Hare} and \textit{N. Sidorov}, LMS J. Comput. Math. 13, 130--143 (2010; Zbl 1278.11075) Full Text: DOI arXiv
Harvey, David Efficient computation of \(p\)-adic heights. (English) Zbl 1222.11149 LMS J. Comput. Math. 11, 40-59 (2008). MSC: 11Y40 11G50 PDFBibTeX XMLCite \textit{D. Harvey}, LMS J. Comput. Math. 11, 40--59 (2008; Zbl 1222.11149) Full Text: DOI arXiv Link
Fraatz, Robert On the computation of integral closures of cyclic extensions of function fields. (English) Zbl 1162.11052 LMS J. Comput. Math. 10, 141-160 (2007). MSC: 11R58 11Y40 PDFBibTeX XMLCite \textit{R. Fraatz}, LMS J. Comput. Math. 10, 141--160 (2007; Zbl 1162.11052) Full Text: DOI Link
Satoh, Takakazu On polynomial interpolations related to Verheul homomorphisms. (English) Zbl 1162.11058 LMS J. Comput. Math. 9, 135-158 (2006). MSC: 11T71 11F11 11Y16 PDFBibTeX XMLCite \textit{T. Satoh}, LMS J. Comput. Math. 9, 135--158 (2006; Zbl 1162.11058) Full Text: DOI Link
Malle, Gunter; Roberts, David P. Number fields with discriminant \(\pm 2^a3^b\) and Galois group \(A_n\) or \(S_n\). (English) Zbl 1119.11064 LMS J. Comput. Math. 8, 80-101 (2005). MSC: 11R21 11R29 11R32 11Y40 PDFBibTeX XMLCite \textit{G. Malle} and \textit{D. P. Roberts}, LMS J. Comput. Math. 8, 80--101 (2005; Zbl 1119.11064) Full Text: DOI Link
Galbraith, Steven D.; Rotger, Victor Easy decision Diffie-Hellman groups. (English) Zbl 1116.14014 LMS J. Comput. Math. 7, 201-218 (2004). MSC: 14G50 11G20 11T71 14Q05 PDFBibTeX XMLCite \textit{S. D. Galbraith} and \textit{V. Rotger}, LMS J. Comput. Math. 7, 201--218 (2004; Zbl 1116.14014) Full Text: DOI arXiv Link
Hess, F. Generalising the GHS attack on the elliptic curve discrete logarithm problem. (English) Zbl 1108.14302 LMS J. Comput. Math. 7, 167-192 (2004). MSC: 14G50 11G20 11T71 14G15 14H52 94A60 PDFBibTeX XMLCite \textit{F. Hess}, LMS J. Comput. Math. 7, 167--192 (2004; Zbl 1108.14302) Full Text: DOI Link
Muzereau, A.; Smart, N. P.; Vercauteren, F. The equivalence between the BHP and DLP for elliptic curves used in practical applications. (English) Zbl 1093.14504 LMS J. Comput. Math. 7, 50-72 (2004). MSC: 14G50 11T71 11Y16 94A60 PDFBibTeX XMLCite \textit{A. Muzereau} et al., LMS J. Comput. Math. 7, 50--72 (2004; Zbl 1093.14504) Full Text: DOI Link
Harrison, K.; Page, D.; Smart, N. P. Software implementation of finite fields of characteristic three, for use in pairing-based cryptosystems. (English) Zbl 1068.94012 LMS J. Comput. Math. 5, 181-193 (2002). MSC: 94A60 11T71 14G50 68P25 68R01 PDFBibTeX XMLCite \textit{K. Harrison} et al., LMS J. Comput. Math. 5, 181--193 (2002; Zbl 1068.94012) Full Text: DOI Link
Omar, Sami Note on the contribution of low zeros to Weil’s explicit formula for minimal discriminants. (English) Zbl 1067.11070 LMS J. Comput. Math. 5, 1-6 (2002). MSC: 11R29 11Y40 PDFBibTeX XMLCite \textit{S. Omar}, LMS J. Comput. Math. 5, 1--6 (2002; Zbl 1067.11070) Full Text: DOI Link
Klüners, Jürgen; Malle, Gunter A database for field extensions of the rationals. (English) Zbl 1067.11516 LMS J. Comput. Math. 4, 182-196 (2001). MSC: 11Y40 12F12 12Y05 11R32 PDFBibTeX XMLCite \textit{J. Klüners} and \textit{G. Malle}, LMS J. Comput. Math. 4, 182--196 (2001; Zbl 1067.11516) Full Text: DOI arXiv Link