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This paper proposes the code design criteria for robust space-time trellis codes (STTCs) in orthogonal frequency division multiplexing (OFDM) systems over quasi-static frequency selective fading channels. The code design criteria consider the channels with multiple uncorrelated taps and various channel delay distributions such that the robust code performance over various channel conditions can be guaranteed. Based on the code design criteria, new 4, 8, and 16-state 4-PSK STTCs are constructed. Simulation shows that the new codes achieve the robust code performance over various quasi-static frequency selective fading channels.