Transmission of multimedia contents with block compressed sensing (BCS) would be of great value for practical applications. Compressed data are vulnerable to channel errors during transmission, and effective means to protect them would be helpful to the decoding procedures. We choose multiple description coding (MDC) for error control in advance, and apply the least absolute shrinkage and selection operator (LASSO) for training the received data to alleviate the effect caused by channel errors. We also consider the inherent characteristics between color planes of original image to enhance the reconstruction. Simulations have depicted the advantages with these error control schemes for BCS.