A Modified Variant of RSA Algorithm for Gaussian Integers

Abstract

In this paper, we propose a modified RSA variant using the domain of Gaussian integers providing more security as compare to the old one. The proposed varaint has significant specifics: the encryption is substantially faster than the decryption. There are certain settings where the sender has limited time to transmit the message: visual images or video, and receiver do not have such restriction. For instance, the sender is a system that urgently needs to transmit information prior to either collision with a target or before it is destroyed by a hostile action.