Protection scheme for compressed media form an inevitable part for data transmission. Here we choose block compressive sensing for image compression, and expect to transmit over the binary symmetric channels (BSC). Upon completion of compression at the encoder, we apply multiple description coding (MDC) for error resilience, and the polar codes for error correction. After reception of the possibly erroneous data from BSC, reverse operations for polar decoding and MDC compensation would be applied accordingly, and reconstructed image can be acquired. Simulation results have demonstrated the effectiveness for the protection schemes with the enhancements of the quality of reconstructed images.