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In this paper, we have studied the probability of error of optical code division multiple access (OCDMA) system using 2-D optical codes, namely prime hop and hybrid codes with a probability distribution approach. In order to increase the OCDMA system performance and increase the number of simultaneous users in the system, we have investigated the system when two different receivers are employed, namely, OCDMA serial interference cancellation (SIC) receivers and OCDMA correlation conventional receiver (CCR). Comparison in terms of OCDMA system's performance between these two receivers has been reported. In order to obtain the optimum OCDMA system's performance, we have studied several optical SIC receiver structures. Optimum choice of the number of stages in the SIC receiver and the threshold value on each stage has been reported.