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Suppose I am running an $r$-round MPC protocol. Why is it considered $r + 1$ next message functions? I am unclear where the additional next message function comes from.

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  • $\begingroup$ A link to the relevant paper would help your question. Perhaps the last "round" is not to compute a protocol message but to compute that party's final output. $\endgroup$ Commented Jul 4 at 16:44
  • $\begingroup$ Please try to state your question to the best of your abilities. Why is it considered next message functions? What's "it" in that sentence? Please provide a reference as Mikero has indicated. Without clarifications this question may be closed or - more likely - ignored. $\endgroup$ Commented Jul 7 at 9:04

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In an $r$-round protocol there is one next-message function for each message that is sent, plus one additional function to determine the output after receiving the final message of the protocol. This gives a total of $r+1$.

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