Breaking an image encryption scheme based on Arnold map and Lucas series

摘要

Recently, a novel image encryption based on Arnold scrambling and Lucas series has been proposed in the literature. The scheme design is based on permutation-substitution operations, where Arnold map is used to permute pixels of the image for T rounds, and Lucas sequence is used to mask the image and substitute pixel's values. The authors of the cryptosystem have already tested their system against several statistical tests to show its robustness from a statistical view. This cryptanalytic paper scrutinizes the security of this cryptosystem in order to evaluate its immunity against conventional attacks. The results and methods adopted in this paper show that besides the statistical tests, we may need a deep cryptanalysis of every newly proposed cryptosystem before possible adoption in real applications. Those security results should be considered in further proposals.