# Chaotic Henon-Logistic Map Integration: A Powerful Approach for Safeguarding Digital Images
## 2 Related Works
\begin{table}
\begin{tabular}{c c} \hline
**Method** & **Throughput (Kbps)** \\ \hline [PERSON] [29] & 911.0352 \\ [PERSON] et al. [30] & 888.8867 \\ [PERSON] et al. [31] & 638.4082 \\ [PERSON] et al. [7] & 471.6544 \\ [PERSON] and [PERSON] [32] & 384.9609 \\ [PERSON] and [PERSON] [33] & 360.4102 \\ [PERSON] et al. [6] & 302.7968 \\ [PERSON] et al. [34] & 57,036.8 \\ \hline \end{tabular}
\end{table} 
Table 1: Comparative analysis of the methods discussed in [6]. security analyses of five distinct images. The findings demonstrate the cryptosystem's strong resistance to brute-force, chosen-plaintext, and statistical attacks. Furthermore, the study concluded that the cryptographic processes are sufficiently efficient for real-time use. In [34], the authors introduced an innovative image encryption method that integrates the chaotic Henon map, dynamic S-boxes, and elliptic curve cryptography (ECC) to ensure high security and efficiency. The chaotic Henon map, a two-dimensional chaotic system, is utilized to create dynamic S-boxes for the substitution phase of encryption, significantly improving the cipher's confusion and diffusion capabilities. ECC facilitates secure key exchange and authentication, ensuring a safe communication channel between the sender and receiver. The authors asserted that their approach offers strong resistance to attacks and features an extensive key space, making it well suited for secure image transmission. The algorithm's performance was assessed through statistical analysis, key sensitivity tests, and comparisons with other encryption techniques. The findings confirmed the method's effectiveness and resilience in safeguarding image data against unauthorized access. The authors of [39] presented an approach to securing digital images using an encryption scheme based on the Henon chaotic map. This two-dimensional iterated discrete dynamic system is known for its sensitivity to initial conditions, which is leveraged to enhance the security of the encryption process. The proposed method employs a 128-bit secret key with the Henon chaotic map to generate a cipher image. Following the encryption, pixel shuffling is performed using a permutation matrix derived from the chaotic map to further obfuscate the image. The algorithm's effectiveness was validated against standard performance metrics such as PSNR, entropy, and histogram analysis. The results demonstrated that the scheme is robust against various types of attacks, including plaintext, statistical, and chosen-plaintext attacks, making it a promising solution for securing multimedia data in high-bandwidth networks. Using hyper-chaotic maps in image encryption offers many compelling advantages, cementing their status as a superior choice in cryptographic security. Firstly, hyper-chaotic systems are celebrated for their heightened complexity, attributed to multiple positive Lyapunov exponents. This complexity translates into a more intricate and less predictable encryption pattern, drastically enhancing security. Secondly, these systems exhibit extreme sensitivity to initial conditions and parameters, a trait that amplifies the robustness of encryption against various types of attacks, including chosen-plaintext attacks. Thirdly, hyper-chaotic maps provide a vast key space due to their multiple chaotic variables, significantly reducing the likelihood of brute-force attacks. Moreover, despite their complex nature, hyper-chaotic systems can be designed to maintain efficient computational performance, ensuring that the encryption process is smooth in time-sensitive applications. This blend of robust security features and practical efficiency makes hyper-chaotic maps a highly sought-after solution in secure image encryption [12; 40].