In a wireless network there is a single source and a single destination or number of destinations associated by the number of relays. Nodes of wireless networks communicates by sending signals transmits message through single source to single destination. Signals are in the encoded form when receives at node it process decoded/encode with information received from previous nodes. In the wireless network there is a problem of routing path complex and combinatorial problem transmission from source to destination. In this system we investigate the optimal routing problem in signal transmission from source to destination for multi-hop network. We use the technique of rate less code which is used to accumulate the data with the each packet in the transmission. This can decrease the total energy; reduce delays in transmission for transmitting data from the source to the destination. Proposed system enables significant performance through the shortest path routing using Floyd-Warshall algorithm.