Multi-party contract signing (MPCS) is a way for signers to agree on a predetermined contract by exchanging their signature. This matter has become crucial with the growing number of communications. In this paper, we focus mainly on studying the state of the art protocols and more specifically the cryptography involved. We identify the major advances in MPCS, highlight a few gaps with the current protocols and propose an algorithm for contract signing to be abuse-free, optimistic for many signers in industrial standards.
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