An Efficient and Secure Method of Plaintext-Based Image Encryption Using Fibonacci and Tribonacci Transformations

In this article, we have proposed an efficient and secure method of image encryption. This image encryption method is new, where the plain image is confused using Fibonacci Transformation, and Tribonacci Transformation modifies the pixel values. The Fibonacci numbers and Tribonacci numbers of the above transformations are determined using the hash value of the plain image. To our knowledge, this is the first time a Tribonacci Transformation has been used in image encryption. The performance of the present method is evaluated using some standard test images and some special images. The present method has high key space and is sensitive to the plain image. The proposed method is also robust against attacks like brute force attacks, statistical attacks, differential attacks, noise attacks, cropping attacks, and known/chosen-plaintext attacks. The performance of the proposed method is equally efficient as the state-of-the-art methods, which establishes the applicability of the present method.

Automated summary

In this article, we propose an efficient and secure image encryption method using Fibonacci Transformation and Tribonacci Transformation. The method confuses the plain image and modifies pixel values to achieve encryption. The Fibonacci and Tribonacci numbers for the transformations are determined using the hash value of the plain image. This method is the first to use Tribonacci Transformation in image encryption and has a high key space and sensitivity to the plain image. It is also robust against various attacks and has performance comparable to state-of-the-art methods, demonstrating its applicability.