## CryptoDB

### Paper: Algebraic Pseudorandom Functions with Improved Efficiency from the Augmented Cascade

Authors: Dan Boneh Hart Montgomery Ananth Raghunathan URL: http://eprint.iacr.org/2010/442 Search ePrint Search Google We construct an algebraic pseudorandom function (PRF) that is more efficient than the classic Naor- Reingold algebraic PRF. Our PRF is the result of adapting the cascade construction, which is the basis of HMAC, to the algebraic settings. To do so we define an augmented cascade and prove it secure when the underlying PRF satisfies a property called parallel security. We then use the augmented cascade to build new algebraic PRFs. The algebraic structure of our PRF leads to an efficient large-domain Verifiable Random Function (VRF) and a large-domain simulatable VRF.
##### BibTeX
@misc{eprint-2010-23343,
title={Algebraic Pseudorandom Functions with Improved Efficiency from the Augmented Cascade},
booktitle={IACR Eprint archive},
keywords={foundations / pseudorandom functions},
url={http://eprint.iacr.org/2010/442},
note={ACM CCS 2010 dabo@cs.stanford.edu 14834 received 13 Aug 2010},
author={Dan Boneh and Hart Montgomery and Ananth Raghunathan},
year=2010
}