Improved Multiplication Triple Generation over Rings via RLWE-based AHE

Deevashwer Rathee; Thomas Schneider; K.  K.  Shukla

Paper 2019/577

Improved Multiplication Triple Generation over Rings via RLWE-based AHE

Deevashwer Rathee, Thomas Schneider, and K. K. Shukla

Abstract

An important characteristic of recent MPC protocols is an input-independent setup phase in which most computations are offloaded, which greatly reduces the execution overhead of the online phase where parties provide their inputs. For a very efficient evaluation of arithmetic circuits in an information-theoretic online phase, the MPC protocols consume Beaver multiplication triples generated in the setup phase. Triple generation is generally the most expensive part of the protocol, and improving its efficiency is the aim of our work. We specifically focus on computation over rings of the form $Z_{2^{ℓ}}$ in the semi-honest model and the two-party setting, for which an Oblivious Transfer (OT)-based protocol is the currently best solution. To improve upon this method, we propose a protocol based on RLWE-based Additively Homomorphic Encryption. Our experiments show that our protocol is more scalable, and it outperforms the OT-based protocol in most cases. For example, we improve communication by up to 6.9x and runtime by up to 3.6x for 64-bit triple generation.

Note: The runtime of initialization phase for RLWE-AHE based generation has decreased significantly, and has become much smaller than that of OT based generation for the faster network settings.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Published elsewhere. Major revision. CANS'19
DOI: 10.1007/978-3-030-31578-8_19
Keywords: Secure Two-party Computation Beaver Multiplication Triples Ring-LWE Additively Homomorphic Encryption
Contact author(s): deevashwer student cse15 @ iitbhu ac in
History: 2019-10-29: last of 3 revisions; 2019-05-28: received; See all versions
Short URL: https://ia.cr/2019/577
License: CC BY

BibTeX

@misc{cryptoeprint:2019/577,
      author = {Deevashwer Rathee and Thomas Schneider and K.  K.  Shukla},
      title = {Improved Multiplication Triple Generation over Rings via {RLWE}-based {AHE}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/577},
      year = {2019},
      doi = {10.1007/978-3-030-31578-8_19},
      url = {https://eprint.iacr.org/2019/577}
}