Patient follow up, within the framework of epidemiological studies, po
ses the problem of linking nominal files. An encryption method of iden
tity is proposed to allow the linkage of medical information on the sa
me patient while respecting the confidentiality of medical data. In co
ntrast with most encryption algorithms, the proposed method is mathema
tically irreversible in response to the requirement of the French Nati
onal Commission of Computerized Information Security which demands tha
t the cryptosystem must not be decipherable even by the legitimate rec
ipient. In order to prevent deciphering by frequency analysis, the pro
posed method introduces polynomial operations so that neither indicati
on concerning the length of the string nor a possible repetition of ch
aracters can be obtained by code disclosure. The security of the syste
m is reinforced by the use of two keys, the first one to be defined by
the producers of information and the second one by the recipient so t
hat nobody can decrypt the enciphered text.