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This paper considers the deployment of frequency-hopped OFDMA at the downlink of a cellular system. Each user in the cell is assigned a number of subcarriers by the base-station, which change every OFDM symbol according to deterministic hopping patterns. The construction of the hopping patterns is based on orthogonal Latin squares, that guarantee orthogonal intra-cell multiple access and randomize the inter-cell interference. Properties of Latin squares are derived, which enable us to evaluate analytically the performance of two coded modulation schemes, namely TCM and BICM. Our results demonstrate the effect of the channel parameters, the hopping pattern selection, the interleaver depth and the inter-cell interference on the performance of a coded FH-OFDMA system.