Paper 2013/123 Original: eprint.iacr.org/2013/123 ↗

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

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).

Metadata
Available format(s)
PDF
Category
Cryptographic protocols
Publication info
Preprint.
History
2013-03-05: last updated
2013-03-05: published
Short URL
https://ia.cr/2013/123
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2013/123,
      author = {Olivier Blazy and Céline Chevalier and David Pointcheval and Damien Vergnaud},
      title = {Analysis and Improvement of Lindell's UC-Secure Commitment Schemes},
      howpublished = {Cryptology {ePrint} Archive, Paper 2013/123},
      year = {2013},
      url = {https://eprint.iacr.org/2013/123}
}
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