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International Conference on Cryptology and Network Security

CANS 2011: Cryptology and Network Security pp 214–233Cite as

Group Signature with Constant Revocation Costs for Signers and Verifiers

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 7092))

Abstract

Membership revocation, being an important property for applications of group signatures, represents a bottleneck in today’s schemes. Most revocation methods require linear amount of work to be performed by unrevoked signers or verifiers, who usually have to obtain fresh update information (sometimes of linear size) published by the group manager. We overcome these disadvantages by proposing a novel group signature scheme, where computation costs for unrevoked signers and potential verifiers remain constant, and so is the length of the update information that must be fetched by these parties from the data published by the group manager. We achieve this complexity by increasing the amount of work at the group manager’s side, which growths quadratic with the total number of members. This increase is acceptable since algorithms of the group manager are typically executed on resourceful devices. Our scheme uses a slightly modified version of the pairing-based dynamic accumulator, introduced by Camenisch, Kohlweiss, and Soriente (PKC 2009), which we implicitly combine with the short (non-revocable) group signature scheme by Boneh, Boyen, and Shacham (CRYPTO 2004). We prove that our revocable scheme satisfies the desired security properties of anonymity, traceability, and non-frameability in the random oracle model, although for better efficiency we resort to a somewhat stronger hardness assumption.

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Author information

Authors and Affiliations

  1. Computer Science Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan

    Chun-I Fan & Ruei-Hau Hsu

  2. Cryptographic Protocols Group, Department of Computer Science, TU Darmstadt & CASED, Germany

    Mark Manulis

Authors
  1. Chun-I Fan
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  2. Ruei-Hau Hsu
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  3. Mark Manulis
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Editor information

Editors and Affiliations

  1. The State Key Laboratory of Information Security, Institute of Software, Chinese Academy of Sciences, 100190, Beijing, China

    Dongdai Lin

  2. Computer Science Department, University of California, 92697-3435, Irvine, CA, USA

    Gene Tsudik

  3. Shandong University, China

    Xiaoyun Wang

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Fan, CI., Hsu, RH., Manulis, M. (2011). Group Signature with Constant Revocation Costs for Signers and Verifiers. In: Lin, D., Tsudik, G., Wang, X. (eds) Cryptology and Network Security. CANS 2011. Lecture Notes in Computer Science, vol 7092. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25513-7_16

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  • DOI: https://doi.org/10.1007/978-3-642-25513-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25512-0

  • Online ISBN: 978-3-642-25513-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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