The elliptic curve discrete logarithm problem (ECDLP) lies at the heart of modern public-key cryptography. It concerns the challenge of determining an unknown scalar multiplier given two points on an ...

This is a preview. Log in through your library . Abstract This paper is the companion article to [Ann. Probab. 39 (2011) 779-856]. We consider a discrete elliptic equation on the d-dimensional lattice ...

The National Security Agency is advising US agencies and businesses to prepare for a time in the not-too-distant future when the cryptography protecting virtually all e-mail, medical and financial ...

This is a preview. Log in through your library . The purpose of The Annals of Probability is to publish contributions to the theory of probability and statistics and their applications. The emphasis ...