Proposing an efficient implementation method for exponentiation in digital signature scheme on ring Zn

In this paper, we propose a design method for the signature scheme based on ring structure Zn. Our signature schemes are more secure, generate signatures at a faster rate than that of the ElGamal scheme and its variants. Moreover, our approaches also overcome some disadvantages of some similar signature schemes on ring Zn. For these advantages, they are fully applicable in practice.