Cryptography Reference
In-Depth Information
[82] A. Menezes.
Elliptic curve public key cryptosystems
, volume 234 of
The Kluwer International Series in Engineering and Computer Science
.
Kluwer Academic Publishers, Boston, MA, 1993. With a foreword by
N. Koblitz.
[83] V. Miller The Weil pairing and its e
cient calculation.
J. Cryptology
,
17(4):235-161, 2004.
[84] T. Nagell. Sur les proprietes arithmetiques des cubiques planes du pre-
mier genre.
Acta Math.
, 52:93-126, 1929.
[85] J. Oesterle. Nouvelles approches du “theoreme” de Fermat.
Asterisque
,
(161-162):Exp. No. 694, 4, 165-186 (1989). Seminaire Bourbaki, Vol.
1987/88.
[86] IEEE P1363-2000.
Standard specifications for public key cryptography
.
[87] J. M. Pollard. Monte Carlo methods for index computation (mod
p
).
Math. Comp.
, 32(143):918-924, 1978.
[88] V. Prasolov and Y. Solovyev.
Elliptic functions and elliptic integrals
,
volume 170 of
Translations of Mathematical Monographs
.Ame ican
Mathematical Society, Providence, RI, 1997. Translated from the Rus-
sian manuscript by D. Leites.
[89] K. A. Ribet. From the Taniyama-Shimura conjecture to Fermat's last
theorem.
Ann. Fac. Sci. Toulouse Math. (5)
, 11(1):116-139, 1990.
[90] K. A. Ribet. On modular representations of Gal(
Q
/
Q
)arisingfrom
modular forms.
Invent. Math.
, 100(2):431-476, 1990.
[91] A. Robert.
Elliptic curves
. Springer-Verlag, Berlin, 1973. Lecture Notes
in Mathematics, Vol. 326.
[92] A. Rosing.
Implementing elliptic curve cryptography
. Manning Publi-
cations Company, 1999.
[93] H.-G. Ruck. A note on elliptic curves over finite fields.
Math. Comp.
,
49(179):301-304, 1987.
[94] T. Satoh. On
p
-adic point counting algorithms for elliptic curves over
finite fields. In
Algorithmic number theory (Sydney, Australia, 2002)
,
volume 2369 of
Lecture Notes in Comput. Sci.
, pages 43-66. Springer-
Verlag, Berlin, 2002.
[95] T. Satoh and K. Araki. Fermat quotients and the polynomial time
discrete log algorithm for anomalous elliptic curves.
Comment. Math.
Univ. St. Paul.
, 47(1):81-92, 1998. Errata: 48 (1999), 211-213.
[96] E. Schaefer A new proof for the non-degeneracy of the Frey-Ruck pairing
and a connection to isogenies over the base field.
Computational aspects
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