在计算机和各类数据通信中传递二进制信号的时候，由于存在各种干扰，会使得传递的信息发生失真现象，这时候就要用到纠错码。

为了能够发现或纠正编码中的错误，我们必须通过一定的手段来对信息的编码谨慎选择，经过选择的编码在出错的时候能够很容易的发现和纠正。比如我们选择了编码{000,111}，当传输中发生了一位错，我们就能够发现并纠正，比如收到的编码是001，我们就可以将它纠正为000。

汉明距离用于表示两个码字中不同位的数目。群码是一种纠错码，根据群码中不同的汉明距离，群码可以保持一定的纠错能力。

直接压缩-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