# Global Broadcast by Broadcasts Among Subsets of Players

## Matthias Fitzi and Ueli Maurer

```
```In the standard model with only pairwise communication channels,
unconditionally secure broadcast among $n$ players is achievable if
and only if the number $t$ of corrupted players satisfies
$t<\frac{n}{3}$. We show that, when additionally given broadcast among
each subset of three players then global broadcast is achievable if
$t<\frac{n}{2}$.