Abstract: Disclosed is a method of authentication of data elements of the type that may be needed, for example, to authenticate a chip card before permitting a transaction instrument to deliver a service to the holder of this card. Should the authentication consist in ascertaining that an information content is truly present in the card at a determined address of a memory of the card, it is proposed to make the length of the block of information elements parametrizable and to include, in the algorithm for the encryption of this block, data relating to this length; the logic address of the file that contains the block and the position of the block in the file are also used. Furthermore, preferably a recursive algorithm is performed in N steps: the block to be authenticated is sliced into slices of fixed length and, at each step, the Exclusive-OR function of a slice considered and of the result of the preceding step is used as the data to be encrypted. FIG. 1.