This paper examines the bit error rate (BER) performance of a frequency-hopping multicarrier code division multiple-access (FH-MC-CDMA) system in frequency-selective slow fading channels. The performance of FH-MC-CDMA is compared to that of MC-CDMA on an uplink with a tapped delay line (TDL) correlated channel model. FH-MC-CDMA with performance enhancement techniques is proposed as an access technique for future generation broadband wireless networks. It is found that FH-MC-CDMA generally has a much better performance than conventional frequency hopping. In addition, the performance of FH-MC-CDMA with a much smaller number of subcarriers may outperform that of MC-CDMA.