Traitor traceable signature scheme

A new signature scheme, traitor traceable signature scheme is presented, which allows the signer to convince any arbiter of the recipient´s infringement, if the recipient distributes illegally the signature which he got. We use the techniques of a proof of knowledge of discrete logarithm, identification of double spender in an off-line electronic cash, and a signcryption scheme. Our scheme consists of a 3-move and it is more compact and efficient compared with the previous scheme, due to the elimination of the cumbersome cut-and-choose like techniques. Moreover, our accusation protocol does not require the private-key of the recipient of the signature, i.e., the signer can convince any arbiter of the recipient´s infringement without the help of the original recipient