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The Golden Code (GC) is an Algebraic SpaceTime Code (ASTC) for MIMO systems, based on quaternion algebras. Thanks to the algebraic construction, the Golden codes are full-rank, full-rate and have the non-vanishing determinant property. These codes have been proposed for MIMO flat fading channels in order to increase the spectral efficiency and to maximize the coding gain. The purpose of this work is to analyze the performance of the GC in a frequency selective Rayleigh channel. To deal with the frequency selectivity, we use the OFDM modulation. The BER performance of an ASTC-MIMO-OFDM system, under several propagation conditions, have been evaluated.