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Dynamic Universal Accumulators for DDH Groups and Their Application to Attribute-Based Anonymous Credential Systems

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Part of the book series: Lecture Notes in Computer Science ((LNSC,volume 5473))

Abstract

We present the first dynamic universal accumulator that allows (1) the accumulation of elements in a DDH-hard group \(\mathbb{G}\) and (2) one who knows x such that y = g x has — or has not — been accumulated, where g generates \(\mathbb{G}\), to efficiently prove her knowledge of such x in zero knowledge, and hence without revealing, e.g., x or y.

We introduce the Attribute-Based Anonymous Credential System, which allows the verifier to authenticate anonymous users according to any access control policy expressible as a formula of possibly negated boolean user attributes. We construct the system from our accumulator.

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Au, M.H., Tsang, P.P., Susilo, W., Mu, Y. (2009). Dynamic Universal Accumulators for DDH Groups and Their Application to Attribute-Based Anonymous Credential Systems. In: Fischlin, M. (eds) Topics in Cryptology – CT-RSA 2009. CT-RSA 2009. Lecture Notes in Computer Science, vol 5473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00862-7_20

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  • DOI: https://doi.org/10.1007/978-3-642-00862-7_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00861-0

  • Online ISBN: 978-3-642-00862-7

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