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Heuristics on pairing-friendly elliptic curves

John Boxall

Source record

Source: Crossref

Published: Oct 1, 2012

DOI: 10.1515/jmc-2011-0004

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Source abstract

Abstract. We present a heuristic asymptotic formula as for the number of isogeny classes of pairing-friendly elliptic curves over prime fields with fixed embedding degree , with fixed discriminant, with rho-value bounded by a fixed such that , and with prime subgroup order at most x .

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Heuristics on pairing-friendly elliptic curves — Mathematical Frontier Network