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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
No rights reserved
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}
}
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