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Coding of Hamming
Problem
During a transmission of information about a support of transmission such as the air, the copper, the optical fibre, the coaxial cable, etc., it is possible that there is a loss of data. This phenomenon is often due to outside factors as the noise for example.
The broadcasting station sent a message but regrettably the noise has to change one bitstate. There is thus an error in the successful message. How is that the receiver is conscious of this error? It is thus necessary to use a coding common to both extremities of the transmission (in reception and in broadcast), this coding will have to allow to find the errors in the passed on message. If we return to our error and what we consider now that it was discovered by the receiver, we can wonder what are the possibilities of the receiver to obtain the correct message.
The first possibility, it is the broadcast. However this method occupies many busy bands because a not unimportant part is used for the broadcast.
This method must be used thus lastly resorts when a message contains too many errors.
The second method aims at correcting the error from the reception. Thus the coding used for the transmission has to can discover the errors and correct them as possible. There are several possible codings, of which the coding of Hamming
