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Computationally Private Randomizing Polynomials and Their Applications

Summary: Computationally Private Randomizing Polynomials
and Their Applications
Benny Applebaum Yuval Ishai Eyal Kushilevitz
Computer Science Department, Technion
Randomizing polynomials allow to represent a function
f(x) by a low-degree randomized mapping ^f(x, r) whose
output distribution on an input x is a randomized encoding
of f(x). It is known that any function f in L/poly (and in
particular in NC1
) can be efficiently represented by degree-
3 randomizing polynomials. Such a degree-3 representation
gives rise to an NC0
4 representation, in which every bit of
the output depends on only 4 bits of the input.
In this paper, we study the relaxed notion of computa-
tionally private randomizing polynomials, where the output
distribution of ^f(x, r) should only be computationally in-


Source: Applebaum, Benny - Faculty of Mathematics and Computer Science, Weizmann Institute of Science
Ishai, Yuval - Department of Computer Science, Technion, Israel Institute of Technology


Collections: Computer Technologies and Information Sciences