[Resource Topic] 2022/1496: Multiplicative Partially Homomorphic CRT Secret Sharing

Welcome to the resource topic for 2022/1496

Title:
Multiplicative Partially Homomorphic CRT Secret Sharing

Authors: Yaniv Kleinman, Shlomi Dolev

Abstract:

A new CRT-based positive (non-zero) secret-sharing scheme with perfect information-theoretic (PIT) security and multiplicative homomorphism is presented. The scheme is designed to support the evaluation of multiplications of non-zero secrets of multiplicative groups.

Our CRT-based scheme is partially homomorphic, supporting homomorphic multiplications. Nevertheless, our scheme has the potential to be regarded as fully homomorphic for practical scenarios, such as bounded-sized multi-cloud databases.

ePrint: https://eprint.iacr.org/2022/1496

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