Title
Mhz2k: Mpc From He Over Z(2k) With New Packing, Simpler Reshare, And Better Zkp
Abstract
We propose a multi-party computation (MPC) protocol over Z(2k) secure against actively corrupted majority from somewhat homomorphic encryption. The main technical contributions are: (i) a new efficient packing method for Z(2k)-messages in lattice-based somewhat homomorphic encryption schemes, (ii) a simpler reshare protocol for leveldependent packings, (iii) a more efficient zero-knowledge proof of plaintext knowledge on cyclotomic rings Z[X]/Phi(M)(X) with M being a prime. Integrating them, our protocol shows from 2.2x upto 4.8x improvements in amortized communication costs compared to the previous best results. Our techniques not only improve the efficiency of MPC over Z(2k) considerably, but also provide a toolkit that can be leveraged when designing other cryptographic primitives over Z(2k).
Year
DOI
Venue
2021
10.1007/978-3-030-84245-1_15
ADVANCES IN CRYPTOLOGY - CRYPTO 2021, PT II
Keywords
DocType
Volume
Multi-party computation, Dishonest majority, Homomorphic encryption, Packing method, Zero-knowledge proof, Z(2k)
Conference
12826
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Jung Hee Cheon11787129.74
Dongwoo Kim200.34
Keewoo Lee3163.02