Cryptology ePrint Archive: Report 2018/649

No-signaling Linear PCPs

Susumu Kiyoshima

Abstract: In this paper, we give a no-signaling linear probabilistically checkable proof (PCP) system for polynomial-time deterministic computation, i.e., a PCP system for P such that (1) the honest PCP oracle is a linear function and (2) the soundness holds against any (computational) no-signaling cheating prover, who is allowed to answer each query according to a distribution that depends on the entire query set in a certain way. To the best of our knowledge, our construction is the first PCP system that satisfies these two properties simultaneously.

As an application of our PCP system, we obtain a 2-message delegating computation scheme by using a known transformation. Compared with the existing 2-message delegating computation schemes that are based on standard cryptographic assumptions, our scheme requires preprocessing but has a simpler structure and makes use of different (possibly cheaper) standard cryptographic primitives, namely additive/multiplicative homomorphic encryption schemes.

Category / Keywords: foundations /

Original Publication (with major differences): IACR-TCC-2018

Date: received 5 Jul 2018, last revised 18 Jan 2019

Contact author: susumu at kiyoshima info

Available format(s): PDF | BibTeX Citation

Note: (24 Sep 2018) added references to concurrent independent works, and made some minor editorial updates; (19 Nov 2018) fixed typo; (18 Jan 2019) made major editorial updates and fixed typo.

Version: 20190118:230430 (All versions of this report)

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