Abstract
We present a variant of an algorithm of Oliver Atkin for counting the number of points on an elliptic curve over a finite field. We describe an implementation of this algorithm for prime fields. We report on the use of this implementation to count the number of points on a curve over \(\mathbb{F}\) p, where p is a 375-digit prime.
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© 1994 Springer-Verlag Berlin Heidelberg
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Lehmann, F., Maurer, M., Müller, V., Shoup, V. (1994). Counting the number of points on elliptic curves over finite fields of characteristic greater than three. In: Adleman, L.M., Huang, MD. (eds) Algorithmic Number Theory. ANTS 1994. Lecture Notes in Computer Science, vol 877. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58691-1_44
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DOI: https://doi.org/10.1007/3-540-58691-1_44
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