Visual Data Security Incorporating Fibonacci Sequence, S-Box, and Chaos Theory

Abstract

Continuous innovations in the field of multimedia and its processing, combined with unprecedented transmission speeds over wireless channels and the Internet have resulted in a rather urgent need for information security. This work proposes a novel image encryption algorithm that is composed of 3 phases. In the first phase, the Fibonacci sequence is utilized. The second phase makes use of a well-tested S-box. Finally, the third phases employs a chaotic function that is based on the Tan and Bessel functions. Performance evaluation of the proposed algorithm is gauged through common image encryption metrics found in the literature. The results exhibit a superior encryption performance, including an MSE value of 8919, a PSNR value of 8.63 dB and an entropy value of 7.999, for the Lena image. Furthermore, the proposed algorithm is tested against the NIST suite and is shown to pass all the tests. Computed values of the various metrics are also compared against counterpart algorithms from the literature and the proposed algorithm is either exhibiting a superior or a comparable performance to them.