TY - JOUR T1 - On Mega Series of Two Distinct Types of Discrete Logarithms in Free Groups and Public Key Cryptosystem AU - , Sunil Kumar Kashyap AU - , Birendra Kumar Sharma AU - , Amitabh Banerjee JO - Asian Journal of Information Technology VL - 6 IS - 10 SP - 1041 EP - 1045 PY - 2007 DA - 2001/08/19 SN - 1682-3915 DO - ajit.2007.1041.1045 UR - https://makhillpublications.co/view-article.php?doi=ajit.2007.1041.1045 KW - Discrete logarithms KW -free groups KW -public key KW -cryptosystem AB - 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. ER -