Discrete one-dimensional piecewise chaotic systems without fixed points

Lawnik, Marcin; Moysis, Lazaros; Baptista, Murilo S.; Volos, Christos

doi:10.1007/s11071-024-09349-6

Cited by 4 publications

(2 citation statements)

References 44 publications

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“…In 1998, Fridrich [6] presented a new image encryption architecture, which employed the pseudo-random numbers generated by the chaotic system for both scrambling and diffusion stage. In recent years, a plethora of encryption algorithms have been proposed, which utilize a similar encryption framework [1][2][3][4][5][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. In these work, one or multiple pseudo-random sequences generated by 1D or high-dimensional chaotic maps are needed for scrambling or diffusion.…”

Section: Introductionmentioning

confidence: 99%

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Medical image encryption system based on a simultaneous permutation and diffusion framework utilizing a new chaotic map

Le,

Li,

Chen

et al. 2024

Phys. Scr.

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In telemedicine, diverse medical images transmitted between doctors and patients contain sensitive personal information. Thus, there is an urgent need for reliable and efficient medical image encryption to protect these medical images during transmission. In this paper, a simultaneous permutation and diffusion framework (SPDF) is introduced for medical image encryption based on a new chaotic map. Firstly, combining the Chebyshev map and the iterative chaotic map with infinite collapse (ICMIC), we propose a one-dimensional chaotic system (1D-CICMIC) which exhibits higher ergodicity and unpredictability compared to other 1D chaotic maps through comprehensive analyses. Secondly, in order to enhance permutation effect, we modify traditional Josephus traversing with a dynamic scrambling method where the scrambling scheme of the current pixel depends on the value of the previous diffused pixel. Thirdly, we develop a simultaneous permutation and diffusion framework, wherein the diffusion is embedded into the modified Josephus traversing to prevent attackers from targeting the scrambling and diffusion phases separately. Finally, based on 1D-CICMIC and SPDF, a encryption system is proposed. It adopts plaintext correlation in the diffusion operation, which strikes a balance between ciphertext sensitivity and plaintext sensitivity, offering resistance against chosen-plaintext attack (CPA), noise attack and data loss. Simulation results show that the proposed algorithm has high encryption efficiency and can withstand various common attacks.

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Section: Introductionmentioning

confidence: 99%

“…However, Wang et al discovered an algebraic weakness in [22] and attacked its equivalent cryptographic method using chosen plaintext attack in [27]. To address the limitations of 1D chaotic maps, scholars have proposed alternative approaches such as the 1D robust chaotic maps [15,28] and the 1D chaotic maps without fixed points [24].…”

Section: Introductionmentioning

confidence: 99%