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In this paper we propose a new publicly verifiable secret sharing scheme using pairings with close relations to Shoenmakers’ scheme.
This scheme is efficient, multiplicatively homomorphic and with unconditional
verifiability in the standard model. We formalize the notion of Indistinguishability of Secrets and prove that out scheme achieves it under the Decisional Bilinear Square (DBS) Assumption that is a natural
variant of the Decisional Bilinear Diffie Hellman Assumption. Moreover, our scheme tolerates active and adaptive adversaries.
CitationHeidarvand, S.; Villar, J. Public verifiability from pairings in secret sharing schemes. "Lecture notes in computer science", 2009, vol. 5381, p. 294-308.
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