[curves] Twist security and induced distributions

David Leon Gil coruus at gmail.com
Wed Nov 12 09:22:51 PST 2014


Question:

What is the distribution induced on the trace of Frobenius by choosing a
curve such that its twist has nearly prime order?

(I.e., is it any different from the distribution induced by choosing a
curve parameter at random, which -- as I understand it -- is the Sato-Tate
distribution?)
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