Correcting errors by natural redundancy

For the storage of big data, there are significant challenges with its long-term reliability. This paper studies how to use the natural redundancy in data for error correction, and how to combine it with error-correcting codes to effectively improve data reliability. It explores several aspects of natural redundancy, including the discovery of natural redundancy in compressed data, the efficient decoding of codes with random structures, the capacity of error-correcting codes that contain natural redundancy, and the time-complexity tradeoff between source coding and channel coding