Securing air defense visual information with hyperchaotic Folded Towel Map-Based encryption

Shamsa Kanwal; Saba Inam; Fahima Hajjej; Ala Saleh Alluhaidan; Shamsa Kanwal; Saba Inam; Fahima Hajjej; Ala Saleh Alluhaidan

doi:10.3934/math.20241505

AIMS Mathematics

2024, Volume 9, Issue 11: 31217-31238. doi: 10.3934/math.20241505

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Research article

Securing air defense visual information with hyperchaotic Folded Towel Map-Based encryption

1.
Department of Mathematical Sciences, Fatima Jinnah Women University, the Mall, Rawalpindi, Pakistan
2.
Department of Information Systems, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia

Received: 21 August 2024 Revised: 05 October 2024 Accepted: 09 October 2024 Published: 01 November 2024
MSC : 94A60, 68P25

In modern air defense systems, safeguarding sensitive information is crucial to prevent unauthorized access and cyber-attacks. Here, we present an innovative image encryption approach, leveraging chaotic logistic maps and hyperchaotic Folded Towel Map sequence generation. The proposed image encryption is a multi-layered procedure intended to secure image transmission. It initiates with permutation, where a chaotic logistic map generates pseudo-random sequences to scramble pixel positions. Next, key mixing creates complexity, randomness, and nonlinearity using an invertible key matrix. Finally, the diffusion phase employs hyperchaotic maps to produce a new sequence XORed with the pixels through a bitwise operation, further encrypting the image. This three-stage process efficiently protects images from unauthorized access, ensuring secure transmission. The proposed method enhances security by leveraging non-linearity, sensitivity, and robust mixing, properties making it highly resistant to cryptographic attacks. The experimental results showed robust encryption performance as established by metrics such as an entropy value of 7.9991, a UACI of 33.21%, and an NPCR of 99.61%. The proposed encryption approach outperformed existing methods in securing image transmission and storage, offering a reliable solution for protecting air defense communication strategic data.
- image encryption,
- chaotic logistic map,
- hyperchaotic Folded Towel Map,
- data security
Citation: Shamsa Kanwal, Saba Inam, Fahima Hajjej, Ala Saleh Alluhaidan. Securing air defense visual information with hyperchaotic Folded Towel Map-Based encryption[J]. AIMS Mathematics, 2024, 9(11): 31217-31238. doi: 10.3934/math.20241505

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Abstract

In modern air defense systems, safeguarding sensitive information is crucial to prevent unauthorized access and cyber-attacks. Here, we present an innovative image encryption approach, leveraging chaotic logistic maps and hyperchaotic Folded Towel Map sequence generation. The proposed image encryption is a multi-layered procedure intended to secure image transmission. It initiates with permutation, where a chaotic logistic map generates pseudo-random sequences to scramble pixel positions. Next, key mixing creates complexity, randomness, and nonlinearity using an invertible key matrix. Finally, the diffusion phase employs hyperchaotic maps to produce a new sequence XORed with the pixels through a bitwise operation, further encrypting the image. This three-stage process efficiently protects images from unauthorized access, ensuring secure transmission. The proposed method enhances security by leveraging non-linearity, sensitivity, and robust mixing, properties making it highly resistant to cryptographic attacks. The experimental results showed robust encryption performance as established by metrics such as an entropy value of 7.9991, a UACI of 33.21%, and an NPCR of 99.61%. The proposed encryption approach outperformed existing methods in securing image transmission and storage, offering a reliable solution for protecting air defense communication strategic data.

References

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