Image encryption algorithm by fractional based chaotic system and framelet transform. (English) Zbl 1503.94045

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 [M. Naor and 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 [M. I. Syama and M. Al-Refai, “Fractional differential equations with Atangana-Baleanu fractional derivative: analysis and applications”, Chaos Solitons Fractals 2, Article ID 100013 (2019; 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.


94A60 Cryptography
68U10 Computing methodologies for image processing


Zbl 0878.94048
Full Text: DOI


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