Designing chaotic S-boxes based on time-delay chaotic system

Özkaynak, Fatih; Yavuz, Sırma

doi:10.1007/s11071-013-0987-4

Cited by 125 publications

(48 citation statements)

References 30 publications

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“…Finding new chaotic systems and investigating chaos control and chaos synchronization methodologies are attractive topics [12][13][14][15] due to the applications of chaos in various areas such as waveforms of chaotic radar [16], image encryption [17], secure image transmission [18], video encryption design [19], and S-box construction [20].…”

Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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Section: Introductionmentioning

confidence: 99%

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Tamba

Rajagopal

Pham

et al. 2018

Advances in Mathematical Physics

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“…Besides, Figure 5 depicts the statistical results of the LP of comparison algorithms. These results show that the LP of the proposed S-box is not worse than that of algorithms in [25,26,28,30,32,34,37,38,41]. Furthermore, Table 6 summarizes the above-mentioned evaluating criteria results of the experimental algorithms.…”

Section: Linear Approximation Probability Analysismentioning

confidence: 78%

“…To verify the generated S-box, we analyze its cryptographic criteria and compare it with many other S-boxes designed in [6][7][8][9][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41]. Moreover, our experimental environment is i3 CPU 540 3.07 GHz, memory 2.00 GHz Inter Core, Matlab2012b.…”

Section: Cryptographic Criteria Analyses Of Proposed S-boxmentioning

confidence: 99%

Chaotic S‐Box: Intertwining Logistic Map and Bacterial Foraging Optimization

Tian

2017

Mathematical Problems in Engineering

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As the unique nonlinear component of block ciphers, Substitution box (S-box) directly affects the safety of a cryptographic system. It is important and difficult to design strong S-box that simultaneously meets multiple cryptographic criteria such as bijection, nonlinearity, strict avalanche criterion (SAC), bit independence criterion (BIC), differential probability (DP), and linear probability (LP). Though many chaotic S-boxes have been proposed, the cryptographic performance of most of them needs to be further improved. A new chaotic S-box based on the intertwining logistic map and bacterial foraging optimization is designed in this paper. It firstly iterates the intertwining logistic map to construct many S-boxes and then applies a bacterial foraging optimization algorithm to find the optimal S-box. Moreover, bacterial foraging optimization algorithm considers the nonlinearity and differential uniformity as the fitness functions in the optimization process. We experiment that the proposed S-box can effectively resist multiple types of cryptanalysis attacks.

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“…S-box in literature [17] S-box in literature [18] S-box in literature [19] average nonlinearity deg ree 105 102 98 103…”

Section: S-box S-box In This Papermentioning

confidence: 99%

“…S-box S-box in this paper S-box in literature [19] S-box in literature [20] S-box in literature [21] strict avalanche criterion 0.5012 0.5056 0.4954 0.5061…”

Section: Table (B) Comparison Of Strict Avalanche Criterionmentioning

confidence: 99%

The Design of S-box Based on Cascaded Integer Chaos Applied to Wireless Sensor Network

Wang¹,

Lu²,

Ding³

2016

IJFGCN

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In the block cryptogram algorithm of wireless sensor network, the emphasis is how to design a secure and efficient S-box. A design method of S-box is proposed based on dynamic iteration of the cascaded integer chaos, which is obtained by the cascade and integer quantization of one-dimensional discrete chaotic map logistic and tent. the S-box not only conform to the application requirements of node operation and computational efficiency, but also compensate the degradation of dynamic characteristics of the singlelevel integer chaos. The performance tests of S-box were carried out, including nonlinearity degree, differential uniformity, strict avalanche criterion, out-put bit independence criterion and bijective property. In contrast to the existing classical S-box based on chaotic map, the results indicate that the S-box has

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Designing chaotic S-boxes based on time-delay chaotic system

Cited by 125 publications

References 30 publications

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Chaos in a System with an Absolute Nonlinearity and Chaos Synchronization

Chaotic S‐Box: Intertwining Logistic Map and Bacterial Foraging Optimization

The Design of S-box Based on Cascaded Integer Chaos Applied to Wireless Sensor Network

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