On the Context-Hiding Property of Shamir-Based Homomorphic Secret Sharing
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908683962679296 |
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| author | Feng, Shuai Zhang, Liang Feng |
| author_facet | Feng, Shuai Zhang, Liang Feng |
| contents | Homomorphic secret sharing (HSS) allows multiple input clients to secretly share their private inputs to a function among several servers such that each server can homomorphically compute the function over its share to produce a share of the function's output. In HSS-enabled applications such as secure multi-party computation (MPC), security requires that the output shares leak no more information about the inputs than the function output. Such security is ensured by the context-hiding property of HSS. The typical rerandomization technique achieves context hiding but increases the share size. To address this, we formalize the context-hiding property of HSS for individual functions, examine the context-hiding property of Shamir-based HSS for monomials, and extend the study to polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Context-Hiding Property of Shamir-Based Homomorphic Secret Sharing Feng, Shuai Zhang, Liang Feng Cryptography and Security 94A60 E.4 Homomorphic secret sharing (HSS) allows multiple input clients to secretly share their private inputs to a function among several servers such that each server can homomorphically compute the function over its share to produce a share of the function's output. In HSS-enabled applications such as secure multi-party computation (MPC), security requires that the output shares leak no more information about the inputs than the function output. Such security is ensured by the context-hiding property of HSS. The typical rerandomization technique achieves context hiding but increases the share size. To address this, we formalize the context-hiding property of HSS for individual functions, examine the context-hiding property of Shamir-based HSS for monomials, and extend the study to polynomials. |
| title | On the Context-Hiding Property of Shamir-Based Homomorphic Secret Sharing |
| topic | Cryptography and Security 94A60 E.4 |
| url | https://arxiv.org/abs/2512.01604 |