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A new DNA coding and hyperchaotic system based asymmetric image encryption algorithm.

Min Liu1, Guodong Ye1

  • 1Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China.

Mathematical Biosciences and Engineering : MBE
|July 2, 2021
PubMed
Summary

This article introduces a new method for protecting digital images using a combination of DNA-based encoding and complex mathematical chaos. Unlike traditional systems that rely on shared passwords, this approach uses a unique asymmetric design to improve security. By dynamically changing how data is scrambled and encoded, the algorithm prevents unauthorized access and ensures that image information remains private during transmission. The researchers demonstrate that this technique is both robust and reliable for modern digital security needs.

Keywords:
DNARSAhyperchaotic systemimage encryptionsecuritydigital image securitychaotic cryptographyDNA computingdata protection algorithms

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Area of Science:

  • Computational cryptography and DNA coding techniques
  • Applied mathematics within hyperchaotic system research

Background:

No prior work has fully resolved the vulnerabilities inherent in traditional image encryption schemes that rely on shared private keys. That uncertainty drove the development of more robust cryptographic frameworks. It was already known that static rules often lead to predictable patterns in encrypted data. This gap motivated researchers to explore more complex, non-linear mathematical structures. Prior research has shown that hyperchaotic systems offer high sensitivity to initial conditions. However, many existing DNA-based methods still suffer from overly simplistic operational rules. That limitation hindered the overall security of previous digital protection protocols. No prior study had successfully integrated asymmetric key management with dynamic DNA-based diffusion processes.

Purpose Of The Study:

The aim of this study is to design a new asymmetric image encryption algorithm that leverages DNA coding and hyperchaotic systems. This research addresses the persistent problem of key management risks found in traditional symmetric schemes. The authors seek to replace fixed operational rules with a more flexible, dynamic approach to diffusion. By utilizing the Rivest-Shamir-Adleman algorithm, the study intends to secure the initial values of the chaotic system. The researchers aim to improve upon existing methods that rely on simple, predictable encryption operations. This work explores how row and column sums can be used to extract plain message inputs effectively. The study is motivated by the need for more reliable and secure digital image protection protocols. Ultimately, the project provides a comprehensive framework for enhancing the security of transmitted image data.

Main Methods:

Review approach involves a three-stage architectural design for digital image protection. Investigators utilize the Rivest-Shamir-Adleman framework to derive initial parameters from plain image data. Researchers compute sums of odd and even rows and columns to extract specific message inputs. A mathematical mapping function transforms these inputs into the starting states of the hyperchaotic engine. The team executes pixel-level scrambling to maximize image confusion based on generated sequences. Experts implement a dynamic DNA diffusion process to replace static operational rules. This stage incorporates coding, specific biological operations, and decoding steps. The study evaluates the final output through rigorous numerical simulations and theoretical security assessments.

Main Results:

Key findings from the literature indicate that the proposed algorithm successfully eliminates key transmission risks through its asymmetric design. The researchers demonstrate that extracting plain message inputs from row and column sums creates unique initial conditions. Numerical simulations confirm that the pixel-level permutation effectively confuses the image structure. The study shows that dynamic DNA rule selection provides superior security compared to fixed-rule methods. Theoretical analysis validates that the combination of these stages results in a robust encryption output. The authors report that the algorithm remains reliable against standard cryptographic threats. Data suggests that the integration of hyperchaotic sequences ensures high sensitivity to the original image content. The results highlight that the multi-stage approach achieves significant improvements in digital data protection.

Conclusions:

Synthesis and implications suggest that the proposed asymmetric framework effectively mitigates risks associated with key transmission. Authors claim that integrating Rivest-Shamir-Adleman protocols provides a secure foundation for generating initial chaotic values. The evidence indicates that pixel-level permutation significantly enhances image confusion before the diffusion stage. Researchers conclude that dynamic DNA rule selection prevents the predictability found in static encryption models. The study demonstrates that this multi-stage approach is both reliable and robust against common cryptographic attacks. Findings imply that combining hyperchaotic dynamics with biological coding improves overall data protection efficiency. The authors maintain that their method addresses specific weaknesses in contemporary image security algorithms. This work provides a viable path for future developments in secure digital communication systems.

The researchers propose a three-stage process: generating initial hyperchaotic values via Rivest-Shamir-Adleman, performing pixel-level permutation, and applying dynamic DNA diffusion. This sequence ensures that both the confusion and diffusion phases remain highly sensitive to the original image content.

The authors utilize the Rivest-Shamir-Adleman algorithm to process sums of image rows and columns. This step creates unique initial values for the hyperchaotic system, effectively replacing the need for shared private keys between the sender and the receiver.

A hyperchaotic system is necessary because its extreme sensitivity to initial conditions creates highly unpredictable sequences. Unlike simpler chaotic maps, this system provides the complex numerical foundation required to drive the dynamic DNA encoding rules.

The DNA coding component acts as the final diffusion layer, where rules are selected based on chaotic sequences. This dynamic approach contrasts with older methods that rely on fixed, static rules for every pixel operation.

The researchers measure the effectiveness of their algorithm through theoretical analysis and numerical simulations. These assessments demonstrate that the method successfully resists common cryptographic attacks while maintaining high levels of image security.

The authors suggest that their dynamic DNA approach solves the problem of fixed rules in existing schemes. They claim this design offers a more secure alternative to traditional symmetric encryption methods.