Loosely speaking, a proximity-oblivious (property) tester is a randomized algorithm that makes a constant number of queries to a tested object and distinguishes objects that have a predetermined property from those that lack it. Specifically, for some threshold probability $c$, objects having the property are accepted with probability at least ... more >>>

We prove that the Shortest Vector Problem (SVP) on point lattices is NP-hard to approximate for any constant factor under polynomial time reverse unfaithful random reductions. These are probabilistic reductions with one-sided error that produce false negatives with small probability, but are guaranteed not to produce false positives regardless of ... more >>>

We study the complexity of black-box constructions of
pseudorandom functions (PRF) from one-way functions (OWF)
that are secure against non-uniform adversaries. We show
that if OWF do not exist, then given as an oracle any
(inefficient) hard-to-invert function, one can compute a
PRF in polynomial time with only $k(n)$ oracle ... more >>>