Smart card updating process

Process for updating an information (tr) contained in a part (Tr) of a memory (M) contained in a smart card (CM), with the aid of a terminal (T) equipped with a security module (MS), the memory (M) containing a counter area (C), the content of the part (Tr)of the memory (M) to be updated having a certificate (d) contained in an area (D) of the part (Tr), said certificate being a given function (g) of the identity (i) of the card, a balance (b) contained in another area (B) and the content (c) of the counter area (C), said process comprising incrementing by one unit the content (c) of the counter zone (C) prior to any updating of the part (Tr) and erasing the old content (tr) of the part (Tr) of the memory (M) and entering in its place a new updated content (tr'), said process being characterized in that the certificate (d) is also a function of the identity (j) of the security module (MS) having performed the preceding update, in order to erase the certificate (d) contained in the area (D) and rewrite the updated certificate (d'), the content (c) of the counting area (C) is incremented and the terminal (T) authenticates the card (CM) and its content (m) of the card before and after updating.