On cycles of pairing-friendly abelian varieties

ePrint Report: On cycles of pairing-friendly abelian varieties

Maria Corte-Real Santos, Craig Costello, Michael Naehrig

One of the most promising avenues for realizing scalable proof systems relies on the existence of 2-cycles of pairing-friendly elliptic curves. Such a cycle consists of two elliptic curves E/GF(p) and E'/GF(q) that both have a low embedding degree and also satisfy q = #E and p = #E'. These constraints turn out to be rather restrictive; in the decade that has passed since 2-cycles …

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