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Threshold Attribute-Based Signatures and Their Application to Anonymous Credential Systems

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Progress in Cryptology – AFRICACRYPT 2009 (AFRICACRYPT 2009)

Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5580))

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Abstract

In this paper we propose threshold attribute-based signatures (t-ABS). A t-ABS scheme enables a signature holder to prove possession of signatures by revealing only the relevant attributes of the signer, hence providing signer-attribute privacy for the signature holder. We define t-ABS schemes, formalize their security and propose two t-ABS schemes: a basic scheme secure against selective forgery and a second one secure against existential forgery, both provable in the standard model, assuming hardness of the CDH problem. We show that our basic t-ABS scheme can be augmented with two extra protocols that are used for efficiently issuing and verifying t-ABS signatures on committed values. We call the augmented scheme a threshold attribute based c-signature scheme (t-ABCS). We show how a t-ABCS scheme can be used to realize a secure threshold attribute-based anonymous credential system (t-ABACS) providing issuer-attribute privacy. We propose a security model for t-ABACS, give a concrete scheme using t-ABCS scheme, and prove that the credential system is secure if the t-ABCS scheme is secure.

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Author information

Authors and Affiliations

  1. School of Computer Science and Software Engineering, University of Wollongong, Australia

    Siamak F. Shahandashti

  2. Department of Computer Science, University of Calgary, Canada

    Reihaneh Safavi-Naini

Authors
  1. Siamak F. Shahandashti
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  2. Reihaneh Safavi-Naini
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Editors and Affiliations

  1. Dept. Electrical Engineering-ESAT/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, Bus 2446, 3001, Leuven, Belgium

    Bart Preneel

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Shahandashti, S.F., Safavi-Naini, R. (2009). Threshold Attribute-Based Signatures and Their Application to Anonymous Credential Systems. In: Preneel, B. (eds) Progress in Cryptology – AFRICACRYPT 2009. AFRICACRYPT 2009. Lecture Notes in Computer Science, vol 5580. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02384-2_13

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  • DOI: https://doi.org/10.1007/978-3-642-02384-2_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02383-5

  • Online ISBN: 978-3-642-02384-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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