MAGMA Computational Algebra System

Bibliography

Bla05

I. Blake, G. Serrousi and N. Smart, editor.
Advances in Elliptic Curve Cryptography, volume 317 of LMS LNS.
Cambridge University Press, Cambridge, 2005.

Gau00

P. Gaudry, F. Heß and N. P. Smart.
Constructive and destructive facets of Weil descent on elliptic curves.
J. Cryptology, 15(1):19--46, 2000.

Gau02

P. Gaudry.
A Comparison and a Combination of SST and AGM Algorithms for Counting Points on Elliptic Curves in Characteristic 2.
In Y. Zheng, editor, Advances in Cryptology---AsiaCrypt 2002, volume 2501 of LNCS, pages 311--327. Springer-Verlag, 2002.
Proc. 8th International Conference on the Theory and Applications of Cryptology and Information Security, Dec. 1--5 2002, Queenstown, New Zealand.

Har

R. Harley.
Web posting.
Under November 2002 entry at http://listserv.nodak.edu/archives/nmbrthry.html.

Hub07

Hendrik Hubrechts.
Quasi-quadratic elliptic curve point counting using rigid cohomology.
to appear in the Journal of Symbolic Computation, 2007.
http://wis.kuleuven.be/algebra/hubrechts/.

JM00

D. Johnson and A. Menezes.
The Elliptic Curve Digital Signature Algorithm (ECDSA).
Technical report, Univ. Waterloo, 2000.
Available at http://www.cacr.math.uwaterloo.ca/.

Koh03

David R. Kohel.
The AGM-X₀(N) Heegner Point Lifting Algorithm and Elliptic Curve Point Counting.
In Advances in Cryptology---AsiaCrypt 2003, number 2894 in LNCS, Berlin, 2003. Springer.

LL03

R. Lercier and D. Lubicz.
Counting Points on Elliptic Curves over Finite Fields of Small Characteristic in Quasi Quadratic Time.
In Advances in Cryptology---EuroCrypt 2003, volume 2656 of LNCS, pages 360--373. Springer, 2003.