Cryptology ePrint Archive: Report 2015/125

Multilinear Pseudorandom Functions

Aloni Cohen and Justin Holmgren

Abstract: 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.

Category / Keywords: secret-key cryptography / pseudo-random functions, decisional Diffie-Hellman, algebraic PRFs

Date: received 17 Feb 2015

Contact author: holmgren at mit edu

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Version: 20150226:120526 (All versions of this report)

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