The GGM construction does NOT yield correlation intractable function ensembles

Authors:
Oded Goldreich
Affiliations:
Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Israel
Venue:
Studies in complexity and cryptography
Year:
2011

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Abstract

We consider the function ensembles emerging from the construction of Goldreich, Goldwasser and Micali (GGM), when applied to an arbitrary pseudoramdon generator. We show that, in general, such functions fail to yield correlation intractable ensembles. Specifically, it may happen that, given a description of such a function, one can easily find an input that is mapped to zero under this function.