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Random linear network coding (RLNC) is asymptotically throughput optimal inthe wireless broadcast of a block of packets from a sender to a set ofreceivers, but suffers from heavy computational load and packet decoding delay.To mitigate this problem while maintaining good throughput, we partition thepacket block into disjoint generations after broadcasting the packets uncodedonce and collecting one round of feedback about receivers' packet receptionstate. We prove the NP-hardness of the optimal partitioning problem by using ahypergraph coloring approach, and develop an efficient heuristic algorithm forits solution. Simulations show that our algorithm outperforms existingsolutions.

The Benefit of Limited Feedback to Generation-Based Random Linear Network Coding in Wireless Broadcast