Paper 2002/080 Original: eprint.iacr.org/2002/080 ↗

Applications of Multilinear Forms to Cryptography

Dan Boneh
Alice Silverberg
Abstract

We study the problem of finding efficiently computable non-degenerate multilinear maps from $G_1^n$ to $G_2$, where $G_1$ and $G_2$ are groups of the same prime order, and where computing discrete logarithms in $G_1$ is hard. We present several applications to cryptography, explore directions for building such maps, and give some reasons to believe that finding examples with $n>2$ may be difficult.

Metadata
Available format(s)
PDF
Publication info
Preprint.
History
2018-04-30: last updated
2002-06-24: published
Short URL
https://ia.cr/2002/080
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2002/080,
      author = {Dan Boneh and Alice Silverberg},
      title = {Applications of Multilinear Forms to Cryptography},
      howpublished = {Cryptology {ePrint} Archive, Paper 2002/080},
      year = {2002},
      url = {https://eprint.iacr.org/2002/080}
}
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