Comparison of recursive sequence based image scrambling algorithms

Image scrambling is an effective method for providing image security. This paper compares and discusses the effectiveness of some image scrambling algorithms based on recursive sequences such as the fibonacci number, generalized Fibonacci number, gray code, generalized gray code, generalized P-gray code, P-Fibonacci, P-Lucas, P-recursive sequences, and parametric M-sequences for image scrambling. The comparison of these methods for image security is based on three basic types of attacks: data loss attacks, noise attacks and plaintext attacks. The experimental results demonstrate that the scrambling algorithms based on both P-Fibonacci and P-Lucas sequences show better performance when subjected to attacks and also in terms of algorithm execution analysis which shows implementation efficiency and low computational requirements. This makes them suitable for real-time applications.