International Association for Cryptologic Research

International Association
for Cryptologic Research

CryptoDB

Homomorphic Secret Sharing with Verifiable Evaluation

Authors:
Arka Rai Choudhuri , Nexus
Aarushi Goel , Purdue University
Aditya Hegde , Johns Hopkins University
Abhishek Jain , Johns Hopkins University & NTT Research
Download:
Search ePrint
Search Google
Conference: TCC 2024
Abstract: A homomorphic secret sharing (HSS) scheme allows a client to delegate a computation to a group of untrusted servers while achieving input privacy as long as at least one server is honest. In recent years, many HSS schemes have been constructed that have, in turn, found numerous applications to cryptography. Prior work on HSS focuses on the setting where the servers are semi-honest. In this work we lift HSS to the setting of malicious evaluators. We propose the notion of *HSS with verifiable evaluation* (ve-HSS) that guarantees correctness of output *even when all the servers are corrupted*. ve-HSS retains all the attractive features of HSS and adds the new feature of succinct (public) verification of output. We present *black-box* constructions of ve-HSS by devising generic transformations for semi-honest HSS schemes (with negligible error). This provides a new non-interactive method for verifiable and private outsourcing of computation.
BibTeX
@inproceedings{tcc-2024-34790,
  title={Homomorphic Secret Sharing with Verifiable Evaluation},
  publisher={Springer-Verlag},
  author={Arka Rai Choudhuri and Aarushi Goel and Aditya Hegde and Abhishek Jain},
  year=2024
}