Abstract

Complex cryptographic protocols are often constructed in a modular way from primitives such as signatures, commitments, and encryption schemes, verifiable random functions, etc. together with zero-knowledge proofs ensuring that these primitives are properly orchestrated by the protocol participants. Over the past decades a whole framework of discrete logarithm based primitives has evolved. This framework, together with so-called generalized Schnorr proofs, gave rise to the construction of many efficient cryptographic protocols.

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