in various computer and data communications transmission of binary signals, because of the existence of all kinds of interference, would allow transfer of information distortion occurred, this time will be used error-correcting codes. In order to be able to detect or correct coding errors, we must adopt certain measures to information on the coding prudent choice, selected coding error in the time can be easily found and corrected. For instance, we chose to 000,111) (coding, transmission occurred one mistake, we will be able to detect and correct, For example, before the code is 001, we can rectify it to 000. Hamming distance is used to mean two different code word the number. Group code is error-correcting codes, group codes different Hamming distance, group codes can maintain a certain e

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