A method for confidentially processing data stored on a platform is described. A transcryption module, receiving a request for access to a data block, transmits the access request to an access request prediction module which returns a list of data blocks. The transcryption module determines whether a corresponding key stream block is present in the cache. The homomorphic calculation module calculates homomorphic ciphertexts of key stream blocks corresponding to the data blocks of the list. The transcryption module transcrypts the data blocks by adding them with the homomorphic ciphertexts of the corresponding key stream blocks. The transcryption module transmits the data blocks thus transcrypted to the request management module.