A method for receiving data frames which consists of determining a reference frame by firm decisions on the value of each bit received and then verifying the reference frame according to an integrity check code used for the transmission. The method may include the following steps: calculating, for each bit of said reference frame, a plausibility value that represents the probability of a transmission error; and, in the event of incompatibility with said integrity check code, identifying in said reference frame a non-empty finite set of the most plausibly erroneous bits in accordance with said plausibility values; listing candidate frames each corresponding respectively to one of the possible combinations of numbers of reversals of the identified most plausibly erroneous bits; and verifying the compatibility of the listed candidate frames with said integrity check code.