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Effective coordination between terminal relays in OFDMA-based systems becomes a cumbersome task with the increase in the number of these relays. To address this drawback, in this paper an autonomous scheme is proposed whereby the relays assign resource blocks to incoming wireless terminals (WTs) in a way that minimizes the number of hit occurrences at which the same resource block is assigned to other WTs. The proposed scheme uses cyclic group generators to determine the sequence of resource blocks to be assigned by each relay. This scheme is particularly beneficial in self-organizing terminal relaying systems in which the distribution of the wireless terminals is nonuniform. Simulation results show that the performance of the proposed scheme is significantly better than that of assignment schemes proposed in the literature.