Maliciously circuit-private multi-key FHE and MPC based on LWE
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s10623-022-01160-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/8287 |
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oai:localhost:PNK-82872023-04-25T07:17:16Z Maliciously circuit-private multi-key FHE and MPC based on LWE Nuttapong, Attrapadung Goichiro, Hanaoka Ryo, Hiromasa MKFHE MPC CC BY In this paper, we construct multi-key homomorphic and fully homomorphic encryption (resp. MKHE and MKFHE) schemes with malicious circuit privacy. Our schemes are based on learning with errors (LWE) besides appropriate circular security assumptions. In contrast, the previous maliciously circuit-private MKFHE scheme by Chongchitmate and Ostrovsky (PKC, 2017) is based on the non-standard decisional small polynomial ratio (DSPR) assumption with a super-polynomial modulus, besides ring learning with errors and circular security assumptions. We note that it was shown by Albrecht et al. (CRYPTO, 2016) that there exists a sub-exponential time attack against this type of DSPR assumption. The main building block of our maliciously circuit-private MKFHE scheme is a (plain) MKFHE scheme by Brakerski et al. (TCC, 2017), and the security of our schemes is proven under the hardness of LWE with sub-exponential modulus-to-noise ratio and circular security assumptions related to the Brakerski et al. scheme. Furthermore, based on our MKFHE schemes, we construct four-round multi-party computation (MPC) protocols with circuit privacy against a semi-honest server and malicious clients in the plain model. The protocols are obtained by combining our schemes with a maliciously sender-private oblivious transfer protocol and a circuit garbling scheme, all of which can be instantiated only assuming LWE. 2023-04-25T07:17:16Z 2023-04-25T07:17:16Z 2022 Book https://link.springer.com/article/10.1007/s10623-022-01160-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/8287 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
MKFHE MPC |
| spellingShingle |
MKFHE MPC Nuttapong, Attrapadung Goichiro, Hanaoka Ryo, Hiromasa Maliciously circuit-private multi-key FHE and MPC based on LWE |
| description |
CC BY |
| format |
Book |
| author |
Nuttapong, Attrapadung Goichiro, Hanaoka Ryo, Hiromasa |
| author_facet |
Nuttapong, Attrapadung Goichiro, Hanaoka Ryo, Hiromasa |
| author_sort |
Nuttapong, Attrapadung |
| title |
Maliciously circuit-private multi-key FHE and MPC based on LWE |
| title_short |
Maliciously circuit-private multi-key FHE and MPC based on LWE |
| title_full |
Maliciously circuit-private multi-key FHE and MPC based on LWE |
| title_fullStr |
Maliciously circuit-private multi-key FHE and MPC based on LWE |
| title_full_unstemmed |
Maliciously circuit-private multi-key FHE and MPC based on LWE |
| title_sort |
maliciously circuit-private multi-key fhe and mpc based on lwe |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s10623-022-01160-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/8287 |
| _version_ |
1764177438219173888 |
| score |
8.891145 |