[Resource Topic] 2023/1818: On the Feasibility of Unleveled Fully-Homomorphic Signatures

Welcome to the resource topic for 2023/1818

Title:
On the Feasibility of Unleveled Fully-Homomorphic Signatures

Authors: Romain Gay, Bogdan Ursu

Abstract:

We build the first unleveled fully homomorphic signature scheme in the standard model. Our scheme is not constrained by any a-priori bound on the depth of the functions that can be homomorphically evaluated, and relies on subexponentially-secure indistinguishability obfuscation, fully-homomorphic encryption and a non-interactive zero-knowledge (NIZK) proof system with composable zero-knowledge. Our scheme is also the first to satisfy the strong security notion of context-hiding for an unbounded number of levels, ensuring that signatures computed homomorphically do not leak the original messages from which they were computed. All building blocks are instantiable from falsifiable assumptions in the standard model, avoiding the need for knowledge assumptions.
The main difficulty we overcome stems from the fact that bootstrapping, which is a crucial tool for obtaining unleveled fully homomorphic encryption (FHE), has no equivalent for homomorphic signatures, requiring us to use novel techniques.

ePrint: https://eprint.iacr.org/2023/1818

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .