id: 06110196 dt: j an: 06110196 au: Ezome, Tony; Lercier, Reynald ti: Elliptic periods and primality proving. so: J. Number Theory 133, No. 1, 343-368 (2013). py: 2013 pu: Elsevier Science (Academic Press), San Diego, CA la: EN cc: ut: elliptic curve; primality; Galois theory; probabilistic algorithms; ring theory ci: li: doi:10.1016/j.jnt.2012.07.007 ab: Summary: We construct extension rings with fast arithmetic using isogenies between elliptic curves. As an application, we give an elliptic version of the AKS primality criterion. rv: