A Novel Image Encryption Scheme with Dynamically Generated DNA Based S-Boxes and 4D LASM

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Abstract

This paper presents an image encryption scheme that integrates 4D LASM hyperchaotic dynamics with cryptographically secure S-box generation and adaptive DNA encoding to incorporate a defensive mechanism against Plaintext-Nonce Differential-Ciphertext Correlation attacks. The system employs affine equivalence transformations of the AES S-box to guarantee optimal cryptographic properties, including nonlinearity of 112 and differential uniformity of 4, for every session. The architecture uses a dual-layer diffusion mechanism with delayed ciphertext feedback that ensures perfect reconstruction and strong avalanche behavior. Security analysis across multiple standard test images shows information entropy values between 7.9971 and 7.9993, adjacent pixel correlation below 0.005, and high differential resistance with NPCR of 99.6090 percent and UACI of 33.4299 percent. The system passes 187 of the 188 NIST SP 800-22 randomness tests and maintains perfect reconstruction for extreme edge cases such as all-black and all-white images. Resistance to channel impairments is validated through PSNR analysis under Gaussian noise, salt-and-pepper noise, and occlusion attacks. With an effective key space of $2^{212}$, the scheme improves chaos-based cryptography by addressing structural weaknesses while preserving mathematical rigor and implementation feasibility.

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