A method is for transmitting a binary information word (MI) coded on r bits to which is attached a redundancy (CRC) coded on s bits, s and r being integers. The redundancy (CRC) signals the appearance of erroneous bits after the transmission, and is obtained by carrying out a Euclidian division of the information word (MI) to be transmitted by a generator polynomial coded on at most s bits. The generator polynomial is chosen so that it satisfies at least one of the following conditions, namely that the Hamming weight of the multiples of the generator polynomial is greater than or equal to a chosen threshold, or the generator polynomial allows the detection of at least 2s-1-3 consecutive erroneous bits.