For regular uniform LOSR networks whose incident hyperedges form information sets, local decoders from linear codes convert multipartite source states into GHZ states with fidelity d^{m-M} (optimal at 1/d for complete hypergraphs) without classical communication.
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Optimal GHZ-State Distribution in LOSR Quantum Networks via Local Decoding from Information Sets
For regular uniform LOSR networks whose incident hyperedges form information sets, local decoders from linear codes convert multipartite source states into GHZ states with fidelity d^{m-M} (optimal at 1/d for complete hypergraphs) without classical communication.