Multiplicative Partially Homomorphic CRT Secret Sharing

Shlomi Dolev; Yaniv Kleinman

Paper 2022/1496

Multiplicative Partially Homomorphic CRT Secret Sharing

Shlomi Dolev

, Ben-Gurion University of the Negev Beersheba, Israel

Yaniv Kleinman, Ben-Gurion University of the Negev Beersheba, Israel

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.

Metadata

Available format(s): PDF
Category: Foundations
Publication info: Preprint.
Keywords: Secret Sharing Perfect Information Theoretic Homomorphism Chinese Remainder Theorem.
Contact author(s): dolev @ cs bgu ac il
yanivkl @ post bgu ac il
History: 2022-11-13: revised; 2022-10-31: received; See all versions
Short URL: https://ia.cr/2022/1496
License: CC0

BibTeX

@misc{cryptoeprint:2022/1496,
      author = {Shlomi Dolev and Yaniv Kleinman},
      title = {Multiplicative Partially Homomorphic {CRT} Secret Sharing},
      howpublished = {Cryptology {ePrint} Archive, Paper 2022/1496},
      year = {2022},
      url = {https://eprint.iacr.org/2022/1496}
}