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This book presents the research done by the author during 20032007 and is essentially a shortened version of his PhD dissertation titled "New Paradigms in GroupOriented Cryptography: NonInteractive Key Agreement, Chain Signatures and Additive Proofs of Knowledge." The thesis had three main contributions: (1) A construction of a blackbox Group with Infeasible Inversion, (2) The concept of Chain Signatures, and (3) The notion of Additive Proofs of Knowledge.
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