ElGamal algorithm is public key cryptosystem and a signature scheme in the speed of the procedures for generating and verifying signatures. An implementation of ElGamal scheme for Laplace Transform Cryptosystem is proposed and it is executed using a .NET program. The time analysis is, compared with existing algorithms. The comparison reveals that the proposed cryptosystem enhances the data security and password security. The statistical tools are use for the planned scheme and accessible algorithms. They are, analyzed graphically.