Abstract:
Security of some present day public key cryptosystems is based on general linear
groups as it is a good choice for developing such type of cryptosystems. This study
presents various public key encryption schemes based on general linear groups.
Di erent techniques including automorphisms in connection with conjugacy search
problem and its generalization are used to develop these schemes. Further, the
grouprings are chosen as platform to enhance the security and e ciency. Numerous
aspects related to our new proposals are also elaborated.