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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Blazy, O., Chevalier, C., Pointcheval, D., Vergnaud, D. (2013). Analysis and Improvement of Lindell’s UC-Secure Commitment Schemes. In: Jacobson, M., Locasto, M., Mohassel, P., Safavi-Naini, R. (eds) Applied Cryptography and Network Security. ACNS 2013. Lecture Notes in Computer Science, vol 7954. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38980-1_34
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DOI: https://doi.org/10.1007/978-3-642-38980-1_34
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