[Resource Topic] 2013/123: Analysis and Improvement of Lindell's UC-Secure Commitment Schemes

Welcome to the resource topic for 2013/123

Title:
Analysis and Improvement of Lindell’s UC-Secure Commitment Schemes

Authors: Olivier Blazy, Céline Chevalier, David Pointcheval, Damien Vergnaud

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).

ePrint: https://eprint.iacr.org/2013/123

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