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Linear orthogonal dispersive codes is proposed in this paper. LODC is constructed from a group of complete orthogonal vector basis of vector space. LODC can be modified to transmit low rate information sequence with better power efficiency. Optimal design of LODC is also proposed to find a space time code with joint optimized capacity and symbol error probability. This method is shown to have simple design concept, competitive low implementation complexity and quite good diversity gain and multiplexing gain.