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Signatures and Efficient Proofs on Committed Graphs and NP-Statements

Lookup NU author(s): Professor Thomas GrossORCiD

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This is the final published version of a report that has been published in its final definitive form by School of Computing Science, University of Newcastle upon Tyne, 2014.

For re-use rights please refer to the publisher's terms and conditions.

Abstract

Digital signature schemes are a foundational building block enabling integrity and non-repudiation. We propose a graph signature scheme and corresponding proofs that allow a prover (1) to obtain a signature on a committed graph and (2) to subsequently prove to a verifier knowledge of such a graph signature. The graph signature scheme and proofs are a building block for certification systems that need to establish graph properties in zero-knowledge, as encountered in cloud security assurance or provenance. We extend the Camenisch-Lysyanskaya (CL) signature scheme to graphs and enable efficient zero-knowledge proofs of knowledge on graph signatures, notably supporting complex statements on graph elements. Our method is based on honest-verifier proofs and the strong RSA assumption. In addition, we explore the capabilities of graph signatures by establishing a proof system on graph 3-colorability (G3C). As G3C is NP-complete, we conclude that there exist Camenisch-Lysyanskaya proof systems for statements of NP languages.

Publication metadata

Author(s): Gross T

Publication type: Report

Publication status: Published

Series Title: School of Computing Science Technical Report Series

Year: 2014

Pages: 20

Print publication date: 01/05/2014

Acceptance date: 01/05/2014

Report Number: 1417

Institution: School of Computing Science, University of Newcastle upon Tyne

Place Published: Newcastle upon Tyne

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