Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that the problem is â™...
We provide an alternative method for constructing lattice-based digital signatures which does not use the “hash-and-sign” methodology of Gentry, Peikert, and Vaikuntanathan (ST...
Blind signatures (BS), introduced by Chaum, have become a cornerstone in privacy-oriented cryptography. Using hard lattice problems, such as the shortest vector problem, as the bas...
Various efforts ([?, ?, ?]) have been made in recent years to derandomize probabilistic algorithms using the complexity theoretic assumption that there exists a problem in E = dti...
Russell Impagliazzo, Ronen Shaltiel, Avi Wigderson