2D e pi-map for image encryption

Erkan U., Toktaş A., Toktas F., Alenezi F.

INFORMATION SCIENCES, cilt.589, ss.770-789, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 589
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.ins.2021.12.126
  • Dergi Adı: INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Computer & Applied Sciences, INSPEC, Library, Information Science & Technology Abstracts (LISTA), Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.770-789
  • Anahtar Kelimeler: Image processing, Image encryption, Chaotic map, 2D chaotic map, Euler map, Pi map, DIMENSIONAL CHAOTIC MAP, SEMI-TENSOR PRODUCT, ALGORITHM, MATRIX
  • Ankara Üniversitesi Adresli: Evet

Özet

A chaotic map generally employed to generate chaotic sequence is key element for an image encryption algorithm (IEA). In this study, an IEA using novel 2D chaotic map, which is based on Euler and Pi numbers so-called e pi-map, is presented. e pi-map exploits infinity diversity attribute of these numbers. Moreover, a diffusion operation referred to as "bit reversion" in which the bits of the pixels are symmetrically reverted is proposed for manipulating the pixel value. e pi-map is exhaustively examined through bifurcation and trajectory diagrams, Lyapunov exponent (LE), sample entropy (SE), permutation entropy (PE) and 0-1 test. The encryption performance of the IEA is then investigated across various cryptanalysis such as key-space, key sensitivity, histogram, information entropy, correlation coefficient, differential attack, cropping attack, noise attack and encryption execution time. Furthermore, the results are compared with the most recent literature. It is demonstrated that e pi-map has superior hyperchaotic performance in views of ergodicity, complexity and randomness. The IEA based on e pi-map and bit reversion is a secure and reliable algorithm thanks to its outperforming cryptanalysis results. (C) 2022 Elsevier Inc. All rights reserved.