In a fair blind signature process, a user interacts with a signer in order to complete a 7-tuple (A,e,s,t,xu,x,m) such that Ae=a0a1xa2ma3xua4ta5s (mod n), where a0, a1, a2, a3, a4 and a5 and n are elements of the Signer's public key (PUBKs). During the signature-issuing phase the user (U) provides the signer (S) with a data element (a1x) encrypted according to a key (f) known to a trusted authority (TA), and this data element (a1x) is disclosed during transmission of the signed message. Similarly, the signed message is transmitted associated with second encrypted data comprising a second data element (a3xu) encrypted according to a key (f) known to the trusted authority (TA), and this second data element (a3xu) is disclosed to the Signer during the signature-issuing phase. Thus, the trusted authority (TA) can revoke the anonymity of the digital signature.