Schoof's algorithm: Difference between revisions

Content deleted Content added
Blugan (talk | contribs)
Blugan (talk | contribs)
Line 158:
 
==References==
* A. Brown: Algorithms for Elliptic Curves over Finite Fields, EPFL - LMA. Avaliable at http://algo.epfl.ch/handouts/en/andrew.pdf
* A. Enge: Elliptic Curves and their Applications to Cryptography: An Introduction. Kluwer Academic Publishers, Dordrecht, 1999.
* N. Koblitz: A Course in Number Theory and Cryptography, Graduate Texts in Math. No. 114, Springer-Verlag, 1987. Second edition, 1994
* V. Müller : Die Berechnung der Punktanzahl von elliptischen kurven über endlichen Primkörpern. Master's Thesis. Universität des Saarlandes, Saarbrücken, 1991. Avaliable at http://lecturer.ukdw.ac.id/vmueller/publications.php
* G. Musiker: Schoof's Algorithm for Counting Points on <math>E(\mathbb{F}_{q})</math>. Avaliable at http://www-math.mit.edu/~musiker/schoof.pdf
* R. Schoof: Elliptic Curves over Finite Fields and the Computation of Square Roots mod p. Math. Comp., 44(170):483-494, 1985. Avaliable at http://www.mat.uniroma2.it/~schoof/ctpts.pdf
* R. Schoof: Counting Points on Elliptic Curves over Finite Fields. J. Theor. Nombres Bordeaux 7:219-254, 1995. Avaliable at http://www.mat.uniroma2.it/~schoof/ctg.pdf
* G. Musiker: Schoof's Algorithm for Counting Points on <math>E(\mathbb{F}_{q})</math>. Avaliable at http://www-math.mit.edu/~musiker/schoof.pdf
* A. Brown: Algorithms for Elliptic Curves over Finite Fields, EPFL - LMA. Avaliable at http://algo.epfl.ch/handouts/en/andrew.pdf
* V. Müller : Die Berechnung der Punktanzahl von elliptischen kurven über endlichen Primkörpern. Master's Thesis. Universität des Saarlandes, Saarbrücken, 1991. Avaliable at http://lecturer.ukdw.ac.id/vmueller/publications.php
* A. Enge: Elliptic Curves and their Applications to Cryptography: An Introduction. Kluwer Academic Publishers, Dordrecht, 1999.
* L. C. Washington: Elliptic Curves: Number Theory and Cryptography. Chapman & Hall/CRC, New York, 2003.
* N. Koblitz: A Course in Number Theory and Cryptography, Graduate Texts in Math. No. 114, Springer-Verlag, 1987. Second edition, 1994