Paper 2018/010 Original: eprint.iacr.org/2018/010 ↗

Interactively Secure Groups from Obfuscation

Thomas Agrikola
Dennis Hofheinz
Abstract

We construct a mathematical group in which an interactive variant of the very general Uber assumption holds. Our construction uses probabilistic indistinguishability obfuscation, fully homomorphic encryption, and a pairing-friendly group in which a mild and standard computational assumption holds. While our construction is not practical, it constitutes a feasibility result that shows that under a strong but generic, and a mild assumption, groups exist in which very general computational assumptions hold. We believe that this grants additional credibility to the Uber assumption.

Metadata
Available format(s)
PDF
Category
Foundations
Publication info
Preprint.
History
2018-03-20: last updated
2018-01-03: published
Short URL
https://ia.cr/2018/010
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2018/010,
      author = {Thomas Agrikola and Dennis Hofheinz},
      title = {Interactively Secure Groups from Obfuscation},
      howpublished = {Cryptology {ePrint} Archive, Paper 2018/010},
      year = {2018},
      url = {https://eprint.iacr.org/2018/010}
}
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