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Orthogonal frequency division multiple access (OFDMA) systems commonly operate with a pseudo-random allocation of active sub-carriers to users. However, dynamic (multi-user) sub-carrier allocation (DSA) in an OFDMA system with a SISO channel has been investigated previously in Y. Wong Cheong et al. (1999), W. Rhee et al. (2000-2001). In this paper, an alternative algorithm is proposed and evaluated. Simulation results identify gains of up to 10 dB and show that near identical gain is achieved for all users.