An asymmetric cryptosystem based on the random weighted singular value decomposition and fractional Hartley domain

Abstract

A new asymmetric encryption system for double random phase encoding based on random weighted singular value decomposition and fractional Hartley transform domain has been proposed. Random weighted singular value decomposition is purely based upon random weights, isometric matrix and orthogonal triangular decomposition and all these fragments enhances the security of double random phase encoding cryptosystem. Random weights and orthogonal triangular decomposition are considered as heart of this cryptosystem. This system is carried out in fractional Hartley domain, where fractional orders play a vital role. On the receiver side, it is only possible to decrypt the image if anyone knows all the three components, its multiplication order, fractional order of fractional Hartley transform. Proposed cryptosystem is efficiently compared with singular value decomposition and truncated singular value decomposition. Similar to singular value decomposition and truncated singular value decomposition, proposed cryptosystem also yields three components. Because of random weights, these three components are highly differing from traditional singular value decomposition and truncated singular value decomposition components. Some analysis is offered to authenticate the opportunity.