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

Topics in Cryptology – CT-RSA 2009 In CT-RSA, Vol. 5473 (2009), pp. 295-308.

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We present the first dynamic universal accumulator that allows (1) the accumulation of elements in a DDH-hard group and (2) one who knows x such that y = g x has — or has not — been accumulated, where g generates , 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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