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Cryptography 2017, 1(2), 14; doi:10.3390/cryptography1020014

Recursive Cheating Strategies for the Relativistic FQ Bit Commitment Protocol

École Normale Supérieure, 45 Rue d’Ulm, 75005 Paris, France
Secret Project Team, Inria de Paris, 2 rue Simone Iff, 75018 Paris, France
Author to whom correspondence should be addressed.
Received: 1 June 2017 / Revised: 10 July 2017 / Accepted: 10 August 2017 / Published: 24 August 2017
(This article belongs to the Special Issue Quantum-Safe Cryptography)
View Full-Text   |   Download PDF [290 KB, uploaded 24 August 2017]


In this paper, we study relativistic bit commitment, which uses timing and location constraints to achieve information theoretic security. Using those constraints, we consider a relativistic bit commitment scheme introduced by Lunghi et al. This protocol was shown secure against classical adversaries as long as the number of rounds performed in the protocol is not too large. In this work, we study classical attacks on this scheme. We use the correspondence between this protocol and the CHSHQ game—which is a variant of the CHSH game—to derive cheating strategies for this protocol. Our attack matches the existing security bound for some range of parameters and shows that the scaling of the security in the number of rounds is essentially optimal. View Full-Text
Keywords: relativistic bit commitment; CHSHQ game relativistic bit commitment; CHSHQ game
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bricout, R.; Chailloux, A. Recursive Cheating Strategies for the Relativistic FQ Bit Commitment Protocol. Cryptography 2017, 1, 14.

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