## 1 Introduction
A research study titled \"A Secure Image Encryption Method Using Chaotic Map\" by [8] explored the use of chaotic maps for image encryption. The authors proposed a technique that involves dividing the image into blocks and encrypting each block using a chaotic map. The effectiveness of this method was tested on various images and found to provide security for the images. One of the benefits of the image encryption technique proposed in this study is that it is simple to use and does not require a lot of computing power, which makes it suitable for use in real-time applications. While the image encryption technique proposed in this study has some strengths, it also has some limitations. One potential weakness is that chaotic maps, which are used in the proposed method, can be susceptible to statistical analysis attacks. In the study \"A New Image Encryption Algorithm Based on Chaotic Maps and DNA encoding\" by [9], the authors presented a new approach for encrypting images that combines chaotic maps with DNA encoding and Huffman coding algorithms. The proposed method was tested on various images and found to be effective in providing security. One advantage of this technique is that it uses multiple encryption techniques, which can enhance the overall security of the method. However, it is possible that the DNA encoding and Huffman coding algorithms may be susceptible to certain attacks, which could potentially compromise the security of the proposed method. The study \"Selective image encryption method based on dynamic DNA coding and a new chaotic map\" by [10] introduced a new method for encrypting images that combines chaotic maps with DNA sequence operations. The proposed technique was tested on various images and found to be effective in providing security. One benefit of this method is that it uses both chaotic maps and DNA operations, which can enhance the overall security of the technique. However, it is possible that DNA operations may be susceptible to certain attacks, which could potentially compromise the security of the proposed method. For example, in the study by [PERSON] et al. [11], the authors propose a novel image encryption method that combines the Kronecker product with DNA computing. The authors demonstrate that their method is able to achieve high levels of security and efficiency, making it a promising approach for image encryption. Several other researchers [12; 13; 14] have used the Kronecker product in their image encryption techniques. For instance, in the study by [15], the authors use the Kronecker product to combine multiple encryption keys in order to achieve a higher level of security. Similarly, in [15], the semi-tensor product theory is used to combine a boolean network in order to encrypt images. The Hill cipher has been widely used in image encryption due to its simplicity and effectiveness in providing security. In a previous study [16], the authors proposed an image encryption technique based on the Hill cipher, which involves dividing the image into blocks and encrypting each block using the Hill cipher algorithm. The proposed method was tested on various images and was found to be effective in providing security for the images. However, the Hill cipher has some weaknesses that may make it vulnerable to attacks. One weakness is its reliance on a fixed key, which can be discovered through a brute force attack. Additionally, the Hill cipher is vulnerable to known-plaintext attacks, where an attacker with access to both the plaintext and the corresponding ciphertext can easily recover the key. This can be mitigated by using a large key size and regularly changing the key, but it is still potentially vulnerable. There is a lack of studies that have successfully integrated Hill cipher, chaotic map, and the Kronecker xor product for image encryption. As such, this study represents a significant innovation in the field by presenting a unique combination of these encryption techniques.