A method for protecting data against power analysis attacks includes at least a first phase of executing a cryptographic operation for ciphering data in corresponding enciphered data through a secret key. The method includes at least a second phase of executing an additional cryptographic operation for ciphering additional data in corresponding enciphered additional data. An execution of the first and second phases is undistinguishable by the data power analysis attacks. Secret parameters are randomly generated and processed by the at least one second phase. The secret parameters include an additional secret key ERK for ciphering the additional data in the corresponding enciphered additional data.