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A collective signature scheme aims to solve the problem of signing a message by multiple signers. Recently, Moldovyan and Moldovyan proposed a scheme for collective signatures based on Schnorr signatures. The authors show some security weaknesses of the scheme. Digital signature schemes are important cryptographic constructions with wide and diverse applications. A collective signature scheme aims to solve the problem of signing a message by multiple signers (in a more efficient manner than concatenating individual signatures of the signers). Various constructions of such schemes are known, often satisfying additional requirements, e.g. threshold signatures, blind signatures, etc.
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