The GGM construction does NOT yield correlation intractable function ensembles

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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. © 2011 Springer-Verlag Berlin Heidelberg.

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Goldreich, O. (2011). The GGM construction does NOT yield correlation intractable function ensembles. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 6650 LNCS, 98–108. https://doi.org/10.1007/978-3-642-22670-0_12

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