Image encryption algorithm by fractional based chaotic system and framelet transform (Q2169711)

Traditional encryption systems have been designed for one-dimensional media text. For secure transmission of higher-dimensional media (images), image encryption by sharing was already proposed in 1994 [\textit{M. Naor} and \textit{A. Shamir}, Lect. Notes Comput. Sci. 950, 1--12 (1995; Zbl 0878.94048)]. Here, image encryption by transforming image pixels is considered; the common method is the use of some chaotic transform. Here, the chaotic transform is modified using differential equations based on fractional calculations -- the left Atangana-Baleanu fractional derivative [\textit{M. I. Syama} and \textit{M. Al-Refai}, ``Fractional differential equations with Atangana-Baleanu fractional derivative: analysis and applications'', Chaos Solitons Fractals 2, Article ID 100013 (2019; \url{doi:10.1016/j.csfx.2019.100013})] of order \(\alpha \in (0,1)\) in Caputo sense with a base point. For using the encryption, a new cryptographic system using framelet transmission is introduced. Presented are the results of different tests using openly available images, but these results can not be repeated -- the code is not presented.