Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption
Chaotic maps have been widely applied on image encryption for their complexity and sensitivity to key variation. In this work, we propose second-order chaotic maps with optimized random coefficients to generate chaotic sequences for image encryption. Two screening conditions are proposed to identify...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10208209/ |
| _version_ | 1797743428147085312 |
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| author | Ta-Chien Yeh Jean-Fu Kiang |
| author_facet | Ta-Chien Yeh Jean-Fu Kiang |
| author_sort | Ta-Chien Yeh |
| collection | DOAJ |
| description | Chaotic maps have been widely applied on image encryption for their complexity and sensitivity to key variation. In this work, we propose second-order chaotic maps with optimized random coefficients to generate chaotic sequences for image encryption. Two screening conditions are proposed to identify 300 candidate chaotic maps in terms of complexity indices <inline-formula> <tex-math notation="LaTeX">$K$ </tex-math></inline-formula> and spectral entropy (SE). A particle swarm optimization algorithm is developed to search for the optimal chaotic maps under eight different weighting schemes. The optimal chaotic maps can achieve <inline-formula> <tex-math notation="LaTeX">$N_{p} = 2$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$D_{KY} = 2$ </tex-math></inline-formula>, CD <inline-formula> <tex-math notation="LaTeX">$= 2$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$K > 0.9$ </tex-math></inline-formula>, SE <inline-formula> <tex-math notation="LaTeX">$> 0.9$ </tex-math></inline-formula> and PE <inline-formula> <tex-math notation="LaTeX">$> 0.7$ </tex-math></inline-formula>. Key sensitivity analysis on all the system parameters and initial values confirms high security of the optimal chaotic maps. A hybrid sequence generation (HSG) scheme is also proposed to further reduce the image encryption time. |
| first_indexed | 2024-03-12T14:55:20Z |
| format | Article |
| id | doaj.art-212dbab9d60d435eac413f9f7c979f9c |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-12T14:55:20Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-212dbab9d60d435eac413f9f7c979f9c2023-08-14T23:00:45ZengIEEEIEEE Access2169-35362023-01-0111838338385110.1109/ACCESS.2023.330201210208209Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image EncryptionTa-Chien Yeh0https://orcid.org/0009-0005-5263-0332Jean-Fu Kiang1https://orcid.org/0000-0001-9944-3431Graduate Institute of Communication Engineering, National Taiwan University, Taipei, TaiwanGraduate Institute of Communication Engineering, National Taiwan University, Taipei, TaiwanChaotic maps have been widely applied on image encryption for their complexity and sensitivity to key variation. In this work, we propose second-order chaotic maps with optimized random coefficients to generate chaotic sequences for image encryption. Two screening conditions are proposed to identify 300 candidate chaotic maps in terms of complexity indices <inline-formula> <tex-math notation="LaTeX">$K$ </tex-math></inline-formula> and spectral entropy (SE). A particle swarm optimization algorithm is developed to search for the optimal chaotic maps under eight different weighting schemes. The optimal chaotic maps can achieve <inline-formula> <tex-math notation="LaTeX">$N_{p} = 2$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$D_{KY} = 2$ </tex-math></inline-formula>, CD <inline-formula> <tex-math notation="LaTeX">$= 2$ </tex-math></inline-formula>, <inline-formula> <tex-math notation="LaTeX">$K > 0.9$ </tex-math></inline-formula>, SE <inline-formula> <tex-math notation="LaTeX">$> 0.9$ </tex-math></inline-formula> and PE <inline-formula> <tex-math notation="LaTeX">$> 0.7$ </tex-math></inline-formula>. Key sensitivity analysis on all the system parameters and initial values confirms high security of the optimal chaotic maps. A hybrid sequence generation (HSG) scheme is also proposed to further reduce the image encryption time.https://ieeexplore.ieee.org/document/10208209/Image encryptionchaotic mapchaotic sequencekey sensitivity |
| spellingShingle | Ta-Chien Yeh Jean-Fu Kiang Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption IEEE Access Image encryption chaotic map chaotic sequence key sensitivity |
| title | Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption |
| title_full | Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption |
| title_fullStr | Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption |
| title_full_unstemmed | Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption |
| title_short | Second-Order Chaotic Maps With Random Coefficients to Generate Complex Chaotic Sequences for High-Security Image Encryption |
| title_sort | second order chaotic maps with random coefficients to generate complex chaotic sequences for high security image encryption |
| topic | Image encryption chaotic map chaotic sequence key sensitivity |
| url | https://ieeexplore.ieee.org/document/10208209/ |
| work_keys_str_mv | AT tachienyeh secondorderchaoticmapswithrandomcoefficientstogeneratecomplexchaoticsequencesforhighsecurityimageencryption AT jeanfukiang secondorderchaoticmapswithrandomcoefficientstogeneratecomplexchaoticsequencesforhighsecurityimageencryption |