Proxy signature scheme as secure as decisional Diffie-Hellman problem

Based on decisional Diffie-Hellman problem, we propose a simple proxy-protected signature scheme. In the random oracle model, we also carry out the strict security proof for the proposed scheme. The security of the proposed scheme is not loosely related to the discrete logarithm assumption but tightly related to the decisional Diffie-Hellman assumption in the random oracle model.