1. A method of improving iterative decoding of short codes within a demodulator, comprising the following steps: decoding the vector of metrics of the bits considered at the output of the demodulator, comparing the value of the check code of the CRC of the decoded word with a predetermined value, the value of the CRC is considered to form an acceptable message for the decoding step, transmitting the decoded word to the recipient, the value of the CRC is incompatible with a correctly decoded message, then modifying the parameters for iterative decoding of the initial message that were received from the demodulator and executing at least one new iterative decoding step with these new parameters.