Cryptology ePrint Archive: Report 2018/1020

Non-Interactive Secure Computation from One-Way Functions

Saikrishna Badrinarayanan and Abhishek Jain and Rafail Ostrovsky and Ivan Visconti

Abstract: The notion of non-interactive secure computation (NISC) first introduced in the work of Ishai et al. [EUROCRYPT 2011] studies the following problem: Suppose a receiver R wishes to publish an encryption of her secret input y so that any sender S with input x can then send a message m that reveals f(x,y) to R (for some function f). Here, m can be viewed as an encryption of f(x,y) that can be decrypted by R. NISC requires security against both malicious senders and receivers, and also requires the receiver's message to be reusable across multiple computations (w.r.t. a fixed input of the receiver).

All previous solutions to this problem necessarily rely upon OT (or specific number-theoretic assumptions) even in the common reference string model or the random oracle model or to achieve weaker notions of security such as super-polynomial-time simulation.

In this work, we construct a NISC protocol based on the minimal assumption of one way functions, in the stateless hardware token model. Our construction achieves UC security and requires a single token sent by the receiver to the sender.

Category / Keywords: cryptographic protocols / Secure Computation, Hardware Tokens.

Original Publication (in the same form): IACR-ASIACRYPT-2018

Date: received 19 Oct 2018

Contact author: bsaikrishna7393 at gmail com

Available format(s): PDF | BibTeX Citation

Version: 20181024:173740 (All versions of this report)

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