Towards a Hybrid Approach Based on Elliptic Curves and Cellular Automata to Encrypt Images
Hichem Bouchakour Errahmani, Kamel Mohamed Faraoun
Journal of Information Security Research, Vol. 9, No. 1, 2018.
DOI: 
Link: http://www.dline.info/jisr/fulltext/v9n1/jisrv9n1_1.pdf
Abstract:
In this paper, we present a new approach of image encryption using a stream ciphering model. The proposed
pseudo-random number generator is based on combination of elementary one-dimensional cellular automata (CA)with
elliptic curves. Indeed, we explored the transitions of the CA with the coordinates of a point belonging to an elliptic curve.
The outcome from another point was multiplied by a scalar. CA offers the qualities of ambiguity and chaos, so by combining
the two concepts, we have constructed a PRNG that generates a key stream, used by the way in our approach. This work
constitutes an analogy to works that involved dynamic systems like logistics map with elliptic curves. The proposed PRNG
shows good cryptographic properties,and high security level that depends in the difficulty to solve the discrete logarithm
problem on elliptic curves (ECDLP). The proposition evaluated the images encryption, and it turns out that obtained results
are very promising.