International Association for Cryptologic Research

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Additive-Homomorphic Functional Commitments and Applications to Homomorphic Signatures

Authors:
Dario Catalano , University of Catania
Dario Fiore , IMDEA Software Institute
Ida Tucker , IMDEA Software Institute
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Presentation: Slides
Conference: ASIACRYPT 2022
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.
Video from ASIACRYPT 2022
BibTeX
@inproceedings{asiacrypt-2022-32397,
  title={Additive-Homomorphic Functional Commitments and Applications to Homomorphic Signatures},
  publisher={Springer-Verlag},
  author={Dario Catalano and Dario Fiore and Ida Tucker},
  year=2022
}