Not only the minimum Euclidean distance but also the number of neighbors providing the d min has an important role in reducing the error probability when an Maximum Likelihood detection is considered at the receiver. Assuming that the channel- state-information is available at the transmitter, a new precoder in which the rotation parameter has no influence is proposed for two independent datastreams transmitted. The expression of the new precoding strategy is less complex and the space of solution is, therefore, smaller. Simulation results over Rayleigh fading channel confirm a bit-error-rate improvement of the proposed solution in comparison with other precoder. The improvement depends on the channel characteristics and more significant if the channel is more dispersive.