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In this paper, we tackle the network coding-based opportunistic routing problem for multicast. We present the factors that affect the performance of the multicast protocols. Then, we formulate the problem as an optimization problem. Using the duality approach, we show that a distributed solution can be used to achieve the optimal solution. The distributed solution consists of two phases. In the first phase, the most reliable broadcasting tree is formed based on the ETX metric. In the seconddoi:10.1145/2248371.2248390 dblp:conf/mobihoc/KhreishahKW12 fatcat:64s6g6x4e5awrd4pavrcghfpom