Finding elliptic curves with a subgroup of prescribed size
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DOI: 10.1142/s1793042117500099
Abstract: Assuming the Generalized Riemann Hypothesis, we design a deterministic algorithm that, given a prime p and positive integer m = o(p1/2(logp)−4), outputs an elliptic curve E over the finite field ????p for which the cardinality… read more here.
Keywords: algorithm; subgroup prescribed; elliptic curves; finding elliptic ... See more keywords