# Almost Primality of Group Orders of Elliptic Curves Defined over Small Finite Fields

@article{Koblitz2001AlmostPO, title={Almost Primality of Group Orders of Elliptic Curves Defined over Small Finite Fields}, author={Neal Koblitz}, journal={Experimental Mathematics}, year={2001}, volume={10}, pages={553 - 558} }

Let E be an elliptic curve defined over a small finite field Fq, and let p be a prime number. We give a conjectural formula for the probabil ity that the order of the quotient group E(Fqp )/E(Fq) is prime, and compare it with experimental data. The motivation for this study comes from public key cryptography.

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