This paper proposes an image encryption scheme using Quasigroup and Fibonacci Q-transformation. The proposed scheme is based on substitution–permutation structure, which can handle the images of any size, i.e., square as well as non-square. The Quasigroup of order 256 and Fibonacci Q-transformation are used as primitives for substitution and diffusion of image pixels, respectively. The encryption method is designed to have the secret keys applied with specific orders such that correct decryption is only possible when correct keys and correct orders are supplied together. The proposed scheme has good efficiency, an extensively huge key space and ability to resist all common attacks. The feasibility and performance of the proposed scheme is examined by conducting various experimental results. The robustness of the proposed scheme is validated by analyzing it against statistical and cryptanalytical attacks. Further, superiority of the proposed scheme is confirmed by comparing with the related works.

本文提出了一种使用拟群和斐波那契 Q 变换的图像加密方案。所提出的方案基于置换-置换结构，它可以处理任何尺寸的图像，即方形和非方形。256 阶拟群和斐波那契 Q 变换分别用作图像像素替换和扩散的基元。加密方法被设计为以特定顺序应用秘密密钥，这样只有当正确的密钥和正确的顺序一起提供时才能正确解密。所提出的方案具有良好的效率、广泛的巨大密钥空间和抵抗所有常见攻击的能力。通过进行各种实验结果来检验所提出方案的可行性和性能。通过针对统计和密码分析攻击对其进行分析，验证了所提出方案的稳健性。此外，通过与相关工作的比较，证实了所提出方案的优越性。