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Linear dispersion codes (LDCs) are capable of achieving a good trade-off between link throughput and link robustness in multiple input multiple output (MIMO) broadband wireless access systems. This is thanks to their efficient spreading of data across both time and space domains. This paper proposes a novel LDC design method utilising the unitary matrix theory along with a genetic algorithm (GA). The proposed design framework can produce LDCs attaining higher data rates and better error protection than various well-known MIMO schemes, such as the Alamouti space-time code and spatial multiplexing (SM).