International Association for Cryptologic Research

International Association
for Cryptologic Research


Black-Box Reusable NISC with Random Oracles

Yuval Ishai , Technion
Dakshita Khurana , UIUC
Amit Sahai , UCLA
Akshayaram Srinivasan , Tata Institute of Fundamental Research
DOI: 10.1007/978-3-031-30617-4_3 (login may be required)
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Presentation: Slides
Conference: EUROCRYPT 2023
Abstract: We revisit the problem of {\em reusable} non-interactive secure computation (NISC). A standard NISC protocol for a sender-receiver functionality $f$ enables the receiver to encrypt its input $x$ such that any sender, on input $y$, can send back a message revealing only $f(x,y)$. Security should hold even when either party can be malicious. A {\em reusable} NISC protocol has the additional feature that the receiver's message can be safely reused for computing multiple outputs $f(x,y_i)$. Here security should hold even when a malicious sender can learn partial information about the honest receiver's outputs in each session. We present the first reusable NISC protocol for general functions $f$ that only makes a {\em black-box} use of any two-message oblivious transfer protocol, along with a random oracle. All previous reusable NISC protocols either made a non-black-box use of cryptographic primitives (Cachin et al., ICALP 2002) or alternatively required a stronger arithmetic variant of oblivious transfer and were restricted to $f$ in $\mathsf{NC}^1$ or similar classes (Chase et al., Crypto 2019). Our result is obtained via a general compiler from standard NISC to reusable NISC that makes use of special type of honest-majority protocols for secure multiparty computation. Finally, we extend the above main result to reusable {\em two-sided} NISC, in which two parties can encrypt their inputs in the first round and then reveal different functions of their inputs in multiple sessions. This extension either requires an additional (black-box) use of additively homomorphic commitment or alternatively requires the parties to maintain a state between sessions.
  title={Black-Box Reusable NISC with Random Oracles},
  author={Yuval Ishai and Dakshita Khurana and Amit Sahai and Akshayaram Srinivasan},