Abstract: In this study, we define the mega series of 2 distinct types of discrete logarithms in the free groups and design a public key cryptosystem, whose security is based on the difficulty of solving not only the 1 or 2 or 3 or …any number of discrete logarithms, but the mega series of 2 distinct types of discrete logarithms in the free groups. Thus the proposed public key cryptosystem becomes mega secured. Mathematics Subject Classification Number: 94A60.
Sunil Kumar Kashyap , Birendra Kumar Sharma and Amitabh Banerjee , 2007. On Mega Series of Two Distinct Types of Discrete Logarithms in Free Groups and Public Key Cryptosystem . Asian Journal of Information Technology, 6: 1041-1045.