Paper 2022/1331 Original: eprint.iacr.org/2022/1331 ↗
Additive-Homomorphic Functional Commitments and Applications to Homomorphic Signatures
Abstract
Functional Commitments (FC) allow one to reveal functions of committed data in a succinct and verifiable way. In this paper we put forward the notion of additive-homomorphic FC and show two efficient, pairing-based, realizations of this primitive supporting multivariate polynomials of constant degree and monotone span programs, respectively. We also show applications of the new primitive in the contexts of homomorphic signatures: we show that additive-homomorphic FCs can be used to realize homomorphic signatures (supporting the same class of functionalities as the underlying FC) in a simple and elegant way. Using our new FCs as underlying building blocks, this leads to the (seemingly) first expressive realizations of multi-input homomorphic signatures not relying on lattices or multilinear maps.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2022-10-06: last updated
- 2022-10-06: published
- Short URL
- https://ia.cr/2022/1331
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2022/1331,
author = {Dario Catalano and Dario Fiore and Ida Tucker},
title = {Additive-Homomorphic Functional Commitments and Applications to Homomorphic Signatures},
howpublished = {Cryptology {ePrint} Archive, Paper 2022/1331},
year = {2022},
url = {https://eprint.iacr.org/2022/1331}
}