Encryption Schemes Based on General Linear Groups and Grouprings

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.