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A communication system combining multi-code and multi-carrier techniques is analyzed in this paper. The system is denoted as multi-code multi-carrier CDMA (MC/MC-CDMA). The analytical framework is presented and system performance is evaluated by means of bit error rate (BER) for different system parameters and diversity techniques. The system is suitable for multi-rate services that use multi-codes and high data rate transmissions that employ multi-carriers, as it is proposed for the future generation wireless systems. The effect of changing the number of codes, carriers, users and diversity branches on system performance is investigated. Furthermore, the derived BER expressions quantify the amount of performance improvement achieved by using different diversity schemes.