-
1
-
-
0038932650
-
Analysis of PSLQ, an integer relation finding algorithm
-
January
-
S. Arno, D. H. Bailey, and H. R. P. Ferguson. Analysis of PSLQ, an integer relation finding algorithm. Math. Comp., 68(225):351-369, January 1999.
-
(1999)
Math. Comp
, vol.68
, Issue.225
, pp. 351-369
-
-
Arno, S.1
Bailey, D.H.2
Ferguson, H.R.P.3
-
3
-
-
0011000850
-
Seminar on complex multiplication
-
Number in
-
A. Borel, S. Chowla, C. S. Herz, K. Iwasawa, and J.-P. Serre. Seminar on complex multiplication. Number 21 in Lecture Notes in Math. Springer, 1966.
-
(1966)
Lecture Notes in Math. Springer
, vol.21
-
-
Borel, A.1
Chowla, S.2
Herz, C.S.3
Iwasawa, K.4
Serre, J.-P.5
-
5
-
-
0004550931
-
Moyenne arithmético- géométrique et périodes de courbes de genre 1 et 2.
-
J.-B. Bost and J.-F. Mestre. Moyenne arithmético- géométrique et périodes de courbes de genre 1 et 2. Gaz. Math. Soc. France, 38:36-64, 1988.
-
(1988)
Gaz. Math. Soc. France
, vol.38
, pp. 36-64
-
-
Bost, J.-B.1
Mestre, J.-F.2
-
6
-
-
33646793061
-
Elliptic curves with a given number of points
-
D. Buell, editor, ANTS-VI, of, Springer-Verlag
-
R. Bröker and P. Stevenhagen. Elliptic curves with a given number of points. In D. Buell, editor, ANTS-VI, vol. 3076 of LNCS, pages 117-131. Springer-Verlag, 2004.
-
(2004)
LNCS
, vol.3076
, pp. 117-131
-
-
Bröker, R.1
Stevenhagen, P.2
-
9
-
-
0142200497
-
Construction of hyperelliptic curves with CM and its application to cryptosystems
-
T. Okamoto, editor, ASIACRYPT 2000, of, Springer-Verlag
-
J. Chao, K. Matsuo, H. Kawashiro, and S. Tsujii. Construction of hyperelliptic curves with CM and its application to cryptosystems. In T. Okamoto, editor, ASIACRYPT 2000, vol. 1976 of LNCS, pages 259-273. Springer-Verlag, 2000.
-
(2000)
LNCS
, vol.1976
, pp. 259-273
-
-
Chao, J.1
Matsuo, K.2
Kawashiro, H.3
Tsujii, S.4
-
11
-
-
0003049266
-
Heuristics on class groups of number fields
-
Number theory, Noordwijkerhout 1983, of, Springer, Berlin
-
H. Cohen and H. W. Lenstra, Jr. Heuristics on class groups of number fields. In Number theory, Noordwijkerhout 1983, volume 1068 of Lecture Notes in Math., pages 33-62. Springer, Berlin, 1984.
-
(1984)
Lecture Notes in Math
, vol.1068
, pp. 33-62
-
-
Cohen, H.1
Lenstra Jr., H.W.2
-
12
-
-
77649264579
-
-
The University of Sydney Computational Algebra Group, online handbook, 2006
-
The University of Sydney Computational Algebra Group. Magma online handbook, 2006. http://magma.maths.usyd.edu.au/magma/htmlhelp/MAGMA.htm.
-
Magma
-
-
-
13
-
-
84958549741
-
Action of modular correspondences around CM points
-
C. Fieker and D. R. Kohel, editors, ANTS-V, of, Springer-Verlag
-
J.-M. Couveignes and T. Henocq. Action of modular correspondences around CM points. In C. Fieker and D. R. Kohel, editors, ANTS-V, vol. 2369 of LNCS, pages 234-243. Springer-Verlag, 2002.
-
(2002)
LNCS
, vol.2369
, pp. 234-243
-
-
Couveignes, J.-M.1
Henocq, T.2
-
14
-
-
52449142539
-
Die Typen der Multiplikatoringe elliptischer Funktionenkörper.
-
M. Deuring. Die Typen der Multiplikatoringe elliptischer Funktionenkörper. Abh. Math. Sem. Hansischen, 14:197-272, 1941.
-
(1941)
Abh. Math. Sem. Hansischen
, vol.14
, pp. 197-272
-
-
Deuring, M.1
-
15
-
-
77649259956
-
-
R. Dupont. Moyenne arithmético-géométrique, suites de Borchardt et applications. PhD thesis, École polytechnique, 2006.
-
R. Dupont. Moyenne arithmético-géométrique, suites de Borchardt et applications. PhD thesis, École polytechnique, 2006.
-
-
-
-
18
-
-
35048820123
-
Construction of secure random curves of genus 2 over prime fields
-
C. Cachin and J. Camenisch, editors, Eurocrypt 2004, of, Springer-Verlag
-
P. Gaudry and É. Schost. Construction of secure random curves of genus 2 over prime fields. In C. Cachin and J. Camenisch, editors, Eurocrypt 2004, vol. 3027 of LNCS, pages 239-256. Springer-Verlag, 2004.
-
(2004)
LNCS
, vol.3027
, pp. 239-256
-
-
Gaudry, P.1
Schost, E.2
-
19
-
-
0031215281
-
On certain reduction problems concerning abelian surfaces
-
E. Z. Goren. On certain reduction problems concerning abelian surfaces. Manuscripta math., 94:33-43, 1997.
-
(1997)
Manuscripta math
, vol.94
, pp. 33-43
-
-
Goren, E.Z.1
-
21
-
-
0005359948
-
p-adic Numbers, p-adic Analysis and Zeta-Functions
-
of, Springer-Verlag
-
N. Koblitz. p-adic Numbers, p-adic Analysis and Zeta-Functions, volume 58 of Graduate Texts in Mathematics. Springer-Verlag, 1984.
-
(1984)
Graduate Texts in Mathematics
, vol.58
-
-
Koblitz, N.1
-
22
-
-
23044501623
-
-
T. Lange and M. Stevens. Efficient doubling on genus two curves over binary fields. 3357 of LNCS, pages 170-181. Springer-Verlag, 2005. In H. Handschuhand M.A. Hasan, editors, SAC 2004.
-
T. Lange and M. Stevens. Efficient doubling on genus two curves over binary fields. vol. 3357 of LNCS, pages 170-181. Springer-Verlag, 2005. In H. Handschuhand M.A. Hasan, editors, SAC 2004.
-
-
-
-
23
-
-
77649251919
-
A quasi quadratic time algorithm for hyperelliptic curve point counting
-
To appear in
-
R. Lercier and D. Lubicz. A quasi quadratic time algorithm for hyperelliptic curve point counting. To appear in J. Ramanujan Math. Soc.
-
J. Ramanujan Math. Soc
-
-
Lercier, R.1
Lubicz, D.2
-
24
-
-
77649257654
-
-
R. Lercier and E. Riboulet-Deyris. Elliptic curves with complex multiplication. Posting to the Number Theory List, available at http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind0401&L=nmbrthry&P=R305, 2004.
-
R. Lercier and E. Riboulet-Deyris. Elliptic curves with complex multiplication. Posting to the Number Theory List, available at http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind0401&L=nmbrthry&P=R305, 2004.
-
-
-
-
25
-
-
77649263019
-
-
J. Lubin, J.-P. Serre, and J. Tate. Elliptic curves and formal groups. In Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry, Whitney Estate, Woods Hole, Massachusetts, July 6-July 31, 1964, 1964. Scanned copies available at http://www.ma.utexas. edu/users/voloch/lst.html.
-
J. Lubin, J.-P. Serre, and J. Tate. Elliptic curves and formal groups. In Lecture notes prepared in connection with the seminars held at the Summer Institute on Algebraic Geometry, Whitney Estate, Woods Hole, Massachusetts, July 6-July 31, 1964, 1964. Scanned copies available at http://www.ma.utexas. edu/users/voloch/lst.html.
-
-
-
-
28
-
-
77649247281
-
-
J.-F. Mestre. Construction de courbes de genre 2 à partir de leurs modules. In T. Mora and C. Traverso, editors, Effective methods in algebraic geometry, 94 of Progr. Math., pages 313-334. Birkhäuser, 1991.
-
J.-F. Mestre. Construction de courbes de genre 2 à partir de leurs modules. In T. Mora and C. Traverso, editors, Effective methods in algebraic geometry, vol. 94 of Progr. Math., pages 313-334. Birkhäuser, 1991.
-
-
-
-
29
-
-
0035336179
-
New explicit conditions of elliptic curve traces for FR-reduction
-
May
-
A. Miyaji, M. Nakabayashi, and S. Takano. New explicit conditions of elliptic curve traces for FR-reduction. IEICE Trans. Fundamentals, E84-A(5), May 2001.
-
(2001)
IEICE Trans. Fundamentals
, vol.E84-A
, Issue.5
-
-
Miyaji, A.1
Nakabayashi, M.2
Takano, S.3
-
30
-
-
24944584767
-
Floating-point LLL revisited
-
Eurocrypt 2005, of, Springer-Verlag
-
P. Nguyên and D. Stehlé. Floating-point LLL revisited. In Eurocrypt 2005, vol. 3494 of LNCS, pages 215-233. Springer-Verlag, 2005.
-
(2005)
LNCS
, vol.3494
, pp. 215-233
-
-
Nguyên, P.1
Stehlé, D.2
-
31
-
-
13844276484
-
Hyperelliptic curve cryptosystems: Closing the performance gap to elliptic curves
-
Preprint
-
J. Pelzl, T.Wollinger, J. Guajardo, and C. Paar. Hyperelliptic curve cryptosystems: Closing the performance gap to elliptic curves. Preprint, 2003.
-
(2003)
-
-
Pelzl, J.1
Wollinger, T.2
Guajardo, J.3
Paar, C.4
-
32
-
-
0001100056
-
The canonical lift of an ordinary elliptic curve over a finite field and its point counting
-
Takakazu Satoh. The canonical lift of an ordinary elliptic curve over a finite field and its point counting. J. Ramanujan Math. Soc., 15(4):247-270, 2000.
-
(2000)
J. Ramanujan Math. Soc
, vol.15
, Issue.4
, pp. 247-270
-
-
Satoh, T.1
-
37
-
-
77649245645
-
-
E. Thomé. Multi-Precision for LOCal-fields library, 2006. still under development, see http://www.loria.fr/~thome.
-
E. Thomé. Multi-Precision for LOCal-fields library, 2006. still under development, see http://www.loria.fr/~thome.
-
-
-
-
38
-
-
0033480564
-
Examples of genus two CM curves defined over the rationals
-
January
-
P. van Wamelen. Examples of genus two CM curves defined over the rationals. Math. Comp., 68(225):307-320, January 1999
-
(1999)
Math. Comp
, vol.68
, Issue.225
, pp. 307-320
-
-
van Wamelen, P.1
|