Constant-Rate Interactive Coding Is Impossible, Even in Constant-Degree Networks

Multiparty interactive coding allows a network of n parties to perform distributed computations when the communication channels suffer from noise. Previous results (Rajagopalan and Schulman, STOC 1994) obtained a multiparty interactive coding protocol, resilient to random noise, with a blowup of O(log(A + 1)) for networks whose topology has a maximal degree Δ. Vitally, the communication model in t...