Cryptology ePrint Archive: Report 2015/1157

From Identification to Signatures, Tightly: A Framework and Generic Transforms

Mihir Bellare and Bertram Poettering and Douglas Stebila

Abstract: This paper provides a framework to treat the problem of building signature schemes from identification schemes in a unified and systematic way. The outcomes are (1) Alternatives to the Fiat-Shamir transform that, applied to trapdoor identification schemes, yield signature schemes with tight security reductions to standard assumptions (2) An understanding and characterization of existing transforms in the literature. One of our transforms has the added advantage of producing signatures shorter than produced by the Fiat-Shamir transform. Reduction tightness is important because it allows the implemented scheme to use small parameters (thereby being as efficient as possible) while retaining provable security.

Category / Keywords: Identification, signatures, reduction tightness

Original Publication (with major differences): IACR-ASIACRYPT-2016

Date: received 29 Nov 2015, last revised 4 Sep 2016

Contact author: mihir at eng ucsd edu

Available format(s): PDF | BibTeX Citation

Version: 20160904:174803 (All versions of this report)

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