Cryptology ePrint Archive: Report 2021/639

Indifferentiable Signatures: High Performance and Fallback Security

Charalampos Papamanthou and Cong Zhang and Hong-Sheng Zhou

Abstract: Digital signatures have been widely used as building blocks for constructing complex cryptosystems. To facilitate the security analysis of a complex system, we expect the underlying building blocks to achieve desirable composability. Notably, Canetti (FOCS 2001) and then Maurer et al (TCC 2004) propose analysis frameworks, the Universal Composability framework for cryptographic protocols, and the indifferentiability framework for cryptographic objects.

In this paper, we develop a “lifting strategy”, which allows us to compile multiple existing practical signature schemes using cyclic group (e.g., Schnorr, Boneh-Boyen), to achieve a very stringent security guarantee, in an idealized model of the generic (bilinear) group, without introducing much extra efficiency loss. What's more interesting is that, in our design, even the involved idealized model does not exist, our compiled construction will still be able to achieve the classical notion of unforgeability.

To achieve both indifferentiability and good efficiency, we develop new techniques in generic (bilinear) group model.

Category / Keywords: foundations /

Date: received 14 May 2021, last revised 16 May 2021

Contact author: czhang20 at umd edu, hszhou@vcu edu, hongsheng zhou@gmail com

Available format(s): PDF | BibTeX Citation

Version: 20210517:063819 (All versions of this report)

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