  We consider interactive coding in a setting where $n$ parties wish to compute
a joint function of their inputs via an interactive protocol over imperfect
channels. We assume that adversarial errors can comprise a
$\mathcal{O}(\frac{1}{n})$ fraction of the total communication, occurring
anywhere on the communication network. Our goal is to maintain a constant
multiplicative overhead in the total communication required, as compared to the
error-free setting, and also to balance the workload over the different
parties. We build upon the prior protocol of Jain, Kalai, and Lewko, but while
that protocol relies on a single coordinator to shoulder a heavy burden
throughout the protocol, we design a mechanism to pass the coordination duties
from party to party, resulting in a more even distribution of communication
over the course of the computation.
