Fast parallel bio-molecular logic computing algorithms of discrete logarithm

The discrete logarithm problem is one of the well-known NP problems. It has important applications in such fields as cryptography. The discrete logarithm problem is the basis for the security of many cryptosystems including the Elliptic Curve Cryptosystem and Diffie-Hellman protocol. In this paper, we proposed newly developed parallel bio-molecular logic computing algorithms based on bio-molecular logic computing model to solve discrete logarithm problem.