A chaotic image encryption algorithm based on sliding window and pseudo-random stack shuffling
This paper introduces a new one-dimensional chaotic system, which can be considered as an improvement upon the Bernoulli map. The Quadratic Bernoulli Chaotic System (QBCS) is introduced by replacing the linear segment of the Bernoulli map's two segments with quadratic nonlinearity. Subsequently...
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| Vydané v: | Nonlinear dynamics Ročník 112; číslo 15; s. 13539 - 13569 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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Dordrecht
Springer Netherlands
01.08.2024
Springer Nature B.V |
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| ISSN: | 0924-090X, 1573-269X |
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| Abstract | This paper introduces a new one-dimensional chaotic system, which can be considered as an improvement upon the Bernoulli map. The Quadratic Bernoulli Chaotic System (QBCS) is introduced by replacing the linear segment of the Bernoulli map's two segments with quadratic nonlinearity. Subsequently, an image encryption algorithm is proposed, utilizing a sliding window mechanism and dynamic stack sequences. Initially, the position of the initial window is determined, and to ensure the traversal of the window, the initial window position is set to the top-left corner of the original image. Subsequently, the step size for window movement is determined, and chaotic sequences generated by QBCS are used to scramble the contents selected by each window. Moreover, on the basis of the standard index scrambling concept, a dynamic stack traversal method is employed, wherein the behavior of elements entering and exiting the stack is determined according to the chaotic sequences generated by QBCS, effectively expanding the value space of the chaotic index sequence. Furthermore, combined with the chaotic sequences generated by QBCS, a diffusion process using distribution dilution is applied to the contents within each window. Experimental simulations and performance analysis demonstrate the algorithm's robust security. |
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| AbstractList | This paper introduces a new one-dimensional chaotic system, which can be considered as an improvement upon the Bernoulli map. The Quadratic Bernoulli Chaotic System (QBCS) is introduced by replacing the linear segment of the Bernoulli map's two segments with quadratic nonlinearity. Subsequently, an image encryption algorithm is proposed, utilizing a sliding window mechanism and dynamic stack sequences. Initially, the position of the initial window is determined, and to ensure the traversal of the window, the initial window position is set to the top-left corner of the original image. Subsequently, the step size for window movement is determined, and chaotic sequences generated by QBCS are used to scramble the contents selected by each window. Moreover, on the basis of the standard index scrambling concept, a dynamic stack traversal method is employed, wherein the behavior of elements entering and exiting the stack is determined according to the chaotic sequences generated by QBCS, effectively expanding the value space of the chaotic index sequence. Furthermore, combined with the chaotic sequences generated by QBCS, a diffusion process using distribution dilution is applied to the contents within each window. Experimental simulations and performance analysis demonstrate the algorithm's robust security. |
| Author | Teng, Lin Cao, Pengfei |
| Author_xml | – sequence: 1 givenname: Pengfei surname: Cao fullname: Cao, Pengfei organization: School of Information Science & Technology, Dalian Maritime University – sequence: 2 givenname: Lin surname: Teng fullname: Teng, Lin email: tenglin@dlmu.edu.cn organization: School of Information Science & Technology, Dalian Maritime University |
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| CitedBy_id | crossref_primary_10_3390_electronics14101914 crossref_primary_10_1007_s11071_024_10361_z crossref_primary_10_1007_s11071_025_11625_y crossref_primary_10_1117_1_JEI_34_1_013048 crossref_primary_10_1007_s11760_025_04318_x crossref_primary_10_1088_1402_4896_ad7aad crossref_primary_10_3390_electronics13132647 crossref_primary_10_1016_j_aeue_2025_155820 crossref_primary_10_1088_1402_4896_add5a6 crossref_primary_10_1109_ACCESS_2025_3577086 crossref_primary_10_1088_1402_4896_add96e crossref_primary_10_3390_e27080874 |
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| Keywords | Quadratic Bernoulli Chaotic System (QBCS) Image encryption Dynamic stack sequence Sliding window |
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| SubjectTerms | Algorithms Automotive Engineering Chaos theory Classical Mechanics Control Dilution Dynamical Systems Engineering Mechanical Engineering Pseudorandom Segments Sliding Vibration |
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| Title | A chaotic image encryption algorithm based on sliding window and pseudo-random stack shuffling |
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