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Avoiding the mismatch between a physical network (PT) and a logical identifier structure (LIS) in a distributed hash table (DHT) based routing for mobile ad hoc networks (MANETs) would prevent the problems of long routes, high path-stretch ratio, and increased traffic overhead. To address this mismatch problem, the proposed scheme exploits a 3-dimensional (3D) logical identifier space (LS), where each node computes a consecutive logical identifier (LID) to route packets. The proposed scheme also utilizes 3D-logical identifier structure (3D-LIS) to maintain multi-paths by exploiting multihops at a node to the destination node. Simulation results show that the proposed protocol is better than existing DHT-based routing protocol.