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A wireless technology is required to realize robust transmission of medical images like a radiography image over noisy environment. The use of error correction technique is essential for realizing such a reliable communication, in which a suitable channel coding is introduced to correct erroneous bits caused by passing through a noisy channel. However, the use of a channel code decreases its efficiency because redundancy bits are also transmitted with information bits. This paper presents a joint source-channel coding which maintains the channel efficiency during transmission of medical images like a radiography image. As medical images under the test, we use typical radiography images in this paper. The joint coding technique enjoys correlations between pixels of the radiography image. The results show that the proposed joint coding provides capability to correcting erroneous bits without increasing the redundancy of the codeword.