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Analysis and Improvement of Lindell's UC-Secure Commitment Schemes

Abstract : In 2011, Lindell proposed an efficient commitment scheme, with a non-interactive opening algorithm, in the Universal Composability (UC) framework. He recently acknowledged a bug in its security analysis for the adaptive case. We analyze the proof of the original paper and propose a simple patch of the scheme. More interestingly, we then modify it and present a more efficient commitment scheme secure in the UC framework, with the same level of security as Lindell's protocol: adaptive corruptions, with erasures. The security is proven in the standard model (with a Common Reference String) under the classical Decisional Diffie-Hellman assumption. Our proposal is the most efficient UC-secure commitment proposed to date (in terms of computational workload and communication complexity).
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https://hal.inria.fr/hal-00865612
Contributor : Céline Chevalier <>
Submitted on : Tuesday, September 24, 2013 - 4:02:29 PM
Last modification on : Thursday, July 1, 2021 - 5:58:06 PM

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Olivier Blazy, Céline Chevalier, David Pointcheval, Damien Vergnaud. Analysis and Improvement of Lindell's UC-Secure Commitment Schemes. ACNS 2013 - 11th International Conference Applied Cryptography and Network Security, Jun 2013, Banff, Canada. pp.534-551, ⟨10.1007/978-3-642-38980-1_34⟩. ⟨hal-00865612⟩

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