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arXiv:2209.04520 · Lecture notes in computer science

A New Framework for Quantum Oblivious Transfer

Amit Agarwal, James Bartusek, Dakshita Khurana, Nishant Kumar

Published Jan 1, 2023• 12 citations
arXivHTMLPDF
DOI
10.1007/978-3-031-30545-0_13

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A new oblivious transfer protocol was proposed within the framework of universally composable security(UC-DT).The protocol based on the verifiably smooth projective hashing(VSPH) is against adaptive adversaries in a common reference string(CRS) model.The UC-OT protocol improves computational efficiency with non-committing encryptions(NCE)which is based on decisional compounding residuosity,achieves UC-OT,and it saves O(n)-1 rounds in communication efficiency than bit-OT protocols.Compared with Canetti’s scheme in non-erase model,the message reduced once.Compared with Fischlin’s scheme,the message transfers were reduced twice,and the scheme does not rely on the auxiliary party,therefore it is more practical.

Journal of Communications•Jan 1, 2007•0 citations
As a basic protocol of Secure Multi-party Computation,Oblivious Transfer(OT) is of significant research and application value.Most of previous oblivious transfer protocols in classical environment rely either on public-key cryptography or on additional computational assumptions which will be very vulnerable under quantum mechanics.Based on the characteristics of Bell States,a new quantum oblivious transfer protocol is proposed in this paper.The correctness and security of the protocol are analyzed and proved.The protocol is secure in the presence of noise on the channel and a potential eavesdropper.Comparing with oblivious transfer protocols in classical computational environment,the protocol in this paper is superior in security,soundness and wire-tapping detecting.
Correlated oblivious transfer (COT) is a crucial building block for secure multi-party computation (MPC) and can be generated efficiently via OT extension. Recent works based on the pseudorandom correlation generator (PCG) paradigm presented a new way to generate random COT correlations using only communication sublinear to the output length. However, due to their high computational complexity, these protocols are only faster than the classical IKNP-style OT extension under restricted network bandwidth. In this paper, we propose new COT protocols in the PCG paradigm that achieve unprecedented performance. \em With 505050 Mbps network bandwidth, our maliciously secure protocol can produce one COT correlation in 222222 nanoseconds. More specifically, our results are summarized as follows: \beginenumerate \item We propose a semi-honest COT protocol with sublinear communication and linear computation. This protocol assumes primal-LPN and is built upon a recent VOLE protocol with semi-honest security by Schoppmann et al. (CCS 2019). We are able to apply various optimizations to reduce its communication cost by roughly 15×15\times15×, not counting a one-time setup cost that diminishes as we generate more COT correlations. \item We strengthen our COT protocol to malicious security with no loss of efficiency. Among all optimizations, our new protocol features a new checking technique that ensures correctness and consistency essentially for free. In particular, our maliciously secure protocol is only \em 1−31-31−3 nanoseconds slower for each COT. \item We implemented our protocols, and the code will be publicly available at EMP toolkit. We observe at least 9×9\times9× improvement in running time compared to the state-of-the-art protocol by Boyle et al. (CCS 2019) in both semi-honest and malicious settings under any network faster than 505050 Mbps. \endenumerate With this new record of efficiency for generating COT correlations, we anticipate new protocol designs and optimizations will flourish on top of our protocol.
A new oblivious transfer protocol was proposed within the framework of universally composable security(UC-DT).The protocol based on the verifiably smooth projective hashing(VSPH) is against adaptive adversaries in a common reference string(CRS) model.The UC-OT protocol improves computational efficiency with non-committing encryptions(NCE)which is based on decisional compounding residuosity,achieves UC-OT,and it saves O(n)-1 rounds in communication efficiency than bit-OT protocols.Compared with Canetti’s scheme in non-erase model,the message reduced once.Compared with Fischlin’s scheme,the message transfers were reduced twice,and the scheme does not rely on the auxiliary party,therefore it is more practical.