Chaotic Map Optimization for Image Encryption Using Triple Objective Differential Evolution Algorithm

Creative Commons License

Toktaş A., Erkan U., Toktas F., Yetgin Z.

IEEE ACCESS, cilt.9, ss.127814-127832, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1109/access.2021.3111691
  • Dergi Adı: IEEE ACCESS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, Directory of Open Access Journals
  • Sayfa Sayıları: ss.127814-127832
  • Anahtar Kelimeler: Chaotic map, cryptography, differential evolution, image encryption, SYSTEM, CRYPTANALYSIS, COMBINATION, VISIBILITY, TRANSFORM, MATRIX
  • Ankara Üniversitesi Adresli: Evet

Özet

Chaotic maps used to shuffle and manipulate the image pixels are important for image encryption (IE). In this study, a novel 2D optimized chaotic map (OPMAP) using a triple-objective differential evolution (TODE) algorithm is presented for IE. A model for OPMAP with eight decision variables is empirically designed, and then its variables are determined utilizing TODE through minimizing a triple-objective function that involving Lyapunov exponent (LE), entropy and 0-1 test. OPMAP is assessed with respect to credible measurements like bifurcation, 3D phase space, LE, 0-1 test, permutation entropy (PE) and sample entropy (SE). The capability of OPMAP is then verifled through an IE scheme including permutation and diffusion through various cryptanalyses: key space 2(298), mean entropy 7.9995, mean correlation 13.61E-5, number of pixels changing rate (NPCR) 99.6093, unified average changing intensity (UACI) 33.4630 and encryption processing time (EPT) 0.2919 (s). A detailed review of IE schemes reported elsewhere is presented and IE performance of OPMAP is also validated by comparison with those IE schemes with and without optimization used. The 2D-OPMAP-based IE is faster and has low computational complexity. Moreover, the proposed it shows better cryptanalysis results for the most of the comparisons.