Paper 2015/1037 Original: eprint.iacr.org/2015/1037 ↗
Cryptanalysis of GGH15 Multilinear Maps
Abstract
We describe a cryptanalysis of the GGH15 multilinear maps. Our attack breaks in polynomial time the multipartite key-agreement protocol by generating an equivalent user private key. Our attack only applies to GGH15 without safeguards; for GGH15 with safeguards we only have a partial cryptanalysis that can recover any ratio of secret exponents. We also describe attacks against variants of the GGH13 multilinear maps proposed by Halevi (ePrint 2015/866) aiming at supporting graph-induced constraints, as in GGH15.
Metadata
- Available format(s)
PDF- Publication info
- Preprint.
- History
- 2016-06-02: last updated
- 2015-10-28: published
- Short URL
- https://ia.cr/2015/1037
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2015/1037,
author = {Jean-Sebastien Coron and Moon Sung Lee and Tancrede Lepoint and Mehdi Tibouchi},
title = {Cryptanalysis of GGH15 Multilinear Maps},
howpublished = {Cryptology {ePrint} Archive, Paper 2015/1037},
year = {2015},
url = {https://eprint.iacr.org/2015/1037}
}