## Satoh’s algorithm in characteristic 2.(English)Zbl 1027.11045

The author gives an algorithm for counting points on arbitrary ordinary elliptic curves over finite fields of characteristic 2, extending the $$O(\log^5q)$$ method given by T. Satoh [J. Ramanujan Math. Soc. 15, 247-270 (2000; Zbl 1009.11051)], giving the asymptotically fastest point counting algorithm known to date.

### MSC:

 11G20 Curves over finite and local fields 14G50 Applications to coding theory and cryptography of arithmetic geometry

Zbl 1009.11051
Full Text:

### References:

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