Paper 2011/018 Original: eprint.iacr.org/2011/018 ↗
Homomorphic Signatures for Polynomial Functions
Abstract
We construct the first homomorphic signature scheme that is capable of evaluating multivariate polynomials on signed data. Given the public key and a signed data set, there is an efficient algorithm to produce a signature on the mean, standard deviation, and other statistics of the signed data. Previous systems for computing on signed data could only handle linear operations. For polynomials of constant degree, the length of a derived signature only depends logarithmically on the size of the data set. Our system uses ideal lattices in a way that is a ``signature analogue'' of Gentry's fully homomorphic encryption. Security is based on hard problems on ideal lattices similar to those in Gentry's system.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2011-04-05: last updated
- 2011-01-10: published
- Short URL
- https://ia.cr/2011/018
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/018,
author = {Dan Boneh and David Mandell Freeman},
title = {Homomorphic Signatures for Polynomial Functions},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/018},
year = {2011},
url = {https://eprint.iacr.org/2011/018}
}