Paper 2014/521 Original: eprint.iacr.org/2014/521 ↗

Adaptively Secure Puncturable Pseudorandom Functions in the Standard Model

Susan Hohenberger
Venkata Koppula
Brent Waters
Abstract

We study the adaptive security of constrained PRFs in the standard model. We initiate our exploration with puncturable PRFs. A puncturable PRF family is a special class of constrained PRFs, where the constrained key is associated with an element $x'$ in the input domain. The key allows evaluation at all points $x\neq x'$. We show how to build puncturable PRFs with adaptive security proofs in the standard model that involve only polynomial loss to the underlying assumptions. Prior work had either super-polynomial loss or applied the random oracle heuristic. Our construction uses indistinguishability obfuscation and DDH-hard algebraic groups of composite order.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2015-11-26: last updated
2014-07-07: published
Short URL
https://ia.cr/2014/521
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2014/521,
      author = {Susan Hohenberger and Venkata Koppula and Brent Waters},
      title = {Adaptively Secure Puncturable Pseudorandom Functions in the Standard Model},
      howpublished = {Cryptology {ePrint} Archive, Paper 2014/521},
      year = {2014},
      url = {https://eprint.iacr.org/2014/521}
}
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