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A Schnorr-Like Lightweight Identity-Based Signature Scheme

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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

The use of concatenated Schnorr signatures [Sch91] for the hierarchical delegation of public keys is a well-known technique. In this paper we carry out a thorough analysis of the identity-based signature scheme that this technique yields. The resulting scheme is of interest since it is intuitive, simple and does not require pairings. We prove that the scheme is secure against existential forgery on adaptive chosen message and adaptive identity attacks using a variant of the Forking Lemma [PS00]. The security is proven in the Random Oracle Model under the discrete logarithm assumption. Next, we provide an estimation of its performance, including a comparison with the state of the art on identity-based signatures. We draw the conclusion that the Schnorr-like identity-based signature scheme is arguably the most efficient such scheme known to date.

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Author information

Authors and Affiliations

  1. University of Luxembourg, Luxembourg

    David Galindo

  2. Institute for Computing and Information Sciences, Radboud University Nijmegen, The Netherlands

    Flavio D. Garcia

Authors
  1. David Galindo
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  2. Flavio D. Garcia
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Editor information

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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Galindo, D., Garcia, F.D. (2009). A Schnorr-Like Lightweight Identity-Based Signature Scheme. 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_9

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  • DOI: https://doi.org/10.1007/978-3-642-02384-2_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02383-5

  • Online ISBN: 978-3-642-02384-2

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