Image Encryption Using Chaotic Logistic Map and Finite Field Inversion for Dynamic S-Box Design
Keywords:
S-box, chaotic maps, logistic map, Galois Field GF(28), cryptography, nonlinearity, differential probability, linear probability, image encryption, dynamic S-box, lightweight cryptosystemAbstract
We present a new method for constructing dynamic S-boxes that combines the chaotic behavior with Galois Field arithmetic over GF(28). The approach employs the logistic map Xn+1 = μXn(1 − Xn), where X0 = 0.5 and 3.57 ≤ μ ≤ 3.99 to generate values, which are then reduced modulo 256 and interpreted as field elements. Using finite field inversion with an irreducible polynomial, bijective S-boxes are obtained. The proposed S-boxes are applied in an image encryption scheme to enhance security. Experimental evaluation shows that our designs are highly resistant against cryptanalytic attacks and improves the quality of encrypted images, offering a reliable way to protect sensitive image data during transmission.
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Copyright (c) 2025 Anam Rani, Muhammad Sham Ul Haq, Syed Ahtsham Ul Haq Bokhary, Usman Ali
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