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We propose a general class of concatenated error-correcting entropy codes and channel codes. In this way we extend and generalize the existing body of work on iterative decoding of entropy and channel codes. Using the structure and properties of serial concatenated codes, we employ error-correcting entropy codes as the outer code, and a convolutional codes as the inner code. The generalization from entropy codes to redundant entropy codes allows powerful error correction similar to turbo codes. We provide upper bounds for the concatenated entropy code and channel code. We also show that iterative decoding of the proposed concatenated code outperforms iterative decoding of previously reported entropy and channel codes that operate at the same overall rate.