200 citations · 218 across the 2 of their papers we have counts for
2 papers
quant-ph2010★ 200 cited
Constructing elliptic curve isogenies in quantum subexponential time
Andrew M. Childs, David Jao, Vladimir Soukharev
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isog…
math.NT2010★ 18 cited
A Subexponential Algorithm for Evaluating Large Degree Isogenies
David Jao, Vladimir Soukharev
An isogeny between elliptic curves is an algebraic morphism which is a group homomorphism. Many applications in cryptography require evaluating large degree isogenies between ellip…