We give new algorithms for a variety of randomly-generated instances of computational problems using a linearization technique that reduces to solving a system of linear equations...
In this article, we discuss a naive method of randomness reduction for cryptographic schemes, which replaces the required perfect randomness with output distribution of a computat...
We study the complexity of constructing pseudorandom generators (PRGs) from hard functions, focussing on constant-depth circuits. We show that, starting from a function f : {0, 1}l...
Abstract: We give an explicit construction of a pseudorandom generator against lowdegree polynomials over finite fields. Pseudorandom generators against linear polynomials, known...
We give new pseudorandom generators for regular read-once branching programs of small width. A branching program is regular if the in-degree of every vertex in it is either 0 or 2...
Mark Braverman, Anup Rao, Ran Raz, Amir Yehudayoff
We prove that the pseudorandom generator introduced in [INW94] fools group products of a given finite group. The seed length is O(log n log 1 ), where n the length of the word and...
We present the first general protocol for secure multiparty computation which is scalable, in the sense that the amortized work per player does not grow, and in some natural settin...
We give a new construction of pseudorandom generators from any one-way function. The construction achieves better parameters and is simpler than that given in the seminal work of ...