We show how a multiuser chaos-based communication system can be designed. The approach builds on the recently introduced method of ergodic chaos shift keying. This method uses a nonlinear correlation estimator for extracting the binary information from the received, noise corrupted chaotic signal. Using corresponding uncorrelated signals, several users sending over the same noisy channel can in principle be decoded separately and independently. We show how this can be done for two users. The performance of this system is, however, not yet very good.