[Resource Topic] 2015/125: Multilinear Pseudorandom Functions

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Multilinear Pseudorandom Functions

Authors: Aloni Cohen, Justin Holmgren


We define the new notion of a multilinear pseudorandom function (PRF), and give a construction with a proof of security assuming the hardness of the decisional Diffie-Hellman problem. A direct application of our construction yields (non-multilinear) PRFs with aggregate security from the same assumption, resolving an open question of Cohen, Goldwasser, and Vaikuntanathan. Additionally, multilinear PRFs give a new way of viewing existing algebraic PRF constructions: our main theorem implies they too satisfy aggregate security.

ePrint: https://eprint.iacr.org/2015/125

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