An LSB Data Hiding Technique Using Natural Number Decomposition

Abstract

In this paper, a novel data hiding technique is proposed, as an improvement over the Fibonacci LSB data-hiding technique proposed by Battisti et al. and the technique using prime number system. First we mathematically model and generalize our approach. Then we propose our novel technique, based on decomposition of a number (pixel-value) as sum of natural numbers. The particular representation generates a different set of (virtual) bit-planes altogether, suitable for embedding purposes. They not only allow one to embed secret message in higher bit- planes but also do it without much distortion and in a reliable and secured manner, guaranteeing efficient retrieval of secret message. Analysis indicates that image quality of the stego-image hidden by the technique using the natural number decomposition technique improves drastically against that using prime and Fibonacci decomposition techniques. Experimental results show that stego-image is visually indistinguishable from cover-image.