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A definition of total weighted square correlation (TWSC) for an overloaded multicellular synchronous DS-CDMA system in the presence of multipath on the uplink is introduced. We assume the channel state information is known perfectly both at transmitter and receiver. The optimum solutions for minimizing TWSC are the orthogonal generalized WBE (Welch bound equality) spreading sequences. The design of such sequences in the context of cooperative multibase DS-CDMA systems under the TWSC criterion is presented.