Paper 2015/1048 Original: eprint.iacr.org/2015/1048 ↗

Verifiable Random Functions from Standard Assumptions

Dennis Hofheinz
Tibor Jager
Abstract

The question whether there exist verifiable random functions with exponential-sized input space and full adaptive security based on a non-interactive, constant-size assumption is a long-standing open problem. We construct the first verifiable random functions which simultaneously achieve all these properties. Our construction can securely be instantiated in symmetric bilinear groups, based on any member of the (n-1)-linear assumption family with n >= 3. This includes, for example, the 2-linear assumption, which is also known as the decision linear (DLIN) assumption.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2015-10-30: last updated
2015-10-29: published
Short URL
https://ia.cr/2015/1048
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2015/1048,
      author = {Dennis Hofheinz and Tibor Jager},
      title = {Verifiable Random Functions from Standard Assumptions},
      howpublished = {Cryptology {ePrint} Archive, Paper 2015/1048},
      year = {2015},
      url = {https://eprint.iacr.org/2015/1048}
}
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