Color image encryption system based fractional hyperchaotic, fibonacci matrix and quaternion algebra

In this paper, color images are encrypted using quaternion algebra, quaternion discrete fractional Charlier transform (QDFCTs), Fibonacci matrix, and a fractional 7D hyperchaotic Lorenz-Like system. Furthermore, a novel color image encryption and decryption system is introduced by implementing a new algorithm with two basic stages. In the first stage, the 7D hyperchaotic Lorenz-Like system generates random numbers, which are then used to modify pixel positions. In the second stage, we divided the allowed image into 8 × 8 blocks, and we diffused each one for the first time using the Fibonacci matrix. To improve the effectiveness of this strategy, we use the Fractional Discrete Charlier Transform (FrDCT). The effectiveness of our proposed method is evaluated using obfuscation and data segmentation attacks, correlation coefficient and graphing, differential attacks, keyspace, entropy, and high sensitivity. The results indicate a high level of security performance and good efficiency of color image encryption.