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 . On Mega Series of Two Distinct Types of Discrete Logarithms in Free Groups and Public Key Cryptosystem.
DOI: https://doi.org/10.36478/ajit.2007.1041.1045
URL: https://www.makhillpublications.co/view-article/1682-3915/ajit.2007.1041.1045