Method for transmitting data in a transmission system, the data being transmitted in the form of packets including a compressed header field and a data field and according to a format suited to the transmission system comprising the following steps: recovering the data packet to be transmitted including a compressed header and useful data, identifying the header part from the useful-data part, applying a corrector coding which is selected at the level of the header, and providing the resulting new packet to the link layer, while also communicating the protection mode used, generating the link header according to the transmission format of the relevant transmission system integrating the mode of protection used, and the adaptation of the CRC checksum of the link layer, on reception, performing the error corrector decoding in two steps.