Paper 2010/442 Original: eprint.iacr.org/2010/442 ↗

Algebraic Pseudorandom Functions with Improved Efficiency from the Augmented Cascade

Dan Boneh
Hart Montgomery
Ananth Raghunathan
Abstract

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.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2021-07-26: last updated
2010-08-17: published
Short URL
https://ia.cr/2010/442
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2010/442,
      author = {Dan Boneh and Hart Montgomery and Ananth Raghunathan},
      title = {Algebraic Pseudorandom Functions with Improved Efficiency from the Augmented Cascade},
      howpublished = {Cryptology {ePrint} Archive, Paper 2010/442},
      year = {2010},
      url = {https://eprint.iacr.org/2010/442}
}
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