MPC with honest majority ($t<n/2$) ⇒ MPC with honest majority ($t<n/3$)

Fully-black-box reduction · standard model · folklore · security loss: none

Statement

A protocol with guaranteed output delivery against malicious adversaries corrupting fewer than $n/2$ parties (honest majority, $t<n/2$) has guaranteed output delivery against malicious adversaries corrupting fewer than $n/3$ parties (honest majority, $t<n/3$), since those adversaries are among the former — folklore.