A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence

Hussain, Iqtadar; Shah, Tariq; Gondal, Muhammad Asif; Mahmood, Hasan

doi:10.1007/s11071-013-0816-9

Cited by 34 publications

(4 citation statements)

References 21 publications

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“…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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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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“…Moreover, an action of 2, 2 on 2 is applied to design S-box [5]. A well-organized technique is also suggested to design S-box in [6] which based on TD-ERCS chaotic structure. In [7] a symmetric group is functioned for establishment of Sbox.…”

Section: Introductionmentioning

confidence: 99%

“…In literature, a criterion is specified to find cryptographically strong and good Sbox [14][15]. The proposed criteria included nonlinearity, strict avalanche criterion and bits independent criterion that are briefly discussed to analyze the strength of good S-box [5][6][7][8][11][12][13]. The given manuscript is managed as follows.…”

Section: Introductionmentioning

confidence: 99%

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

Sarfraz¹,

Li²,

Ali³

et al. 2018

dtcse

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Abstract. As a consequence of fast and most recent enhancements in the sphere of IT, information can be transferred on an enormous distance in a very diminutive time. On the other hand safekeeping of sensitive unclassified information becomes more significant in certain circumstances and for these persistence different Cryptographic strategies exists to protect efficiently the concealment of statistics. In this article, we envisioned an effective methodology developed from linear fractional transformation for the composition of nonlinear constituent recognized as S-box and additionally upshot of application of 16 diverse Primitive Irreducible Polynomials (PIPs) are inspected to increase its performance. Moreover, to inspect the performance of S-box against linear and differential attacks we operated illustrious properties of S-box like linear and differential approximation probabilities. To examine the encryption abilities of S-boxes well-known tests of strict avalanche criterion, nonlinearity and bits independence criterion are also applied.

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“…Moreover, Literature [17] presented an S-box design method based on Duffing chaotic system. For more S-box design approaches base on chaotic system, readers can refer to literatures [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

S-box: L-L Cascade Chaotic Map and Line Map

Tian

2015

Lecture Notes in Computer Science

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Abstract. Being as an important nonlinear component of block ciphers, Substitution box (S-box) directly affect the security of the cryptographic systems. It is important and difficult to design cryptographically strong S-box that simultaneously meet with multiple cryptographic criteria such as bijection, non-linearity, strict avalanche criterion (SAC), bits independence criterion (BIC), differential probability (DP) and linear probability (LP). To address the issue, an S-box generation approach based on L-L cascade Chaotic Map and Line Map (LLCMLM) is proposed in this paper. L-L cascade chaotic map is used to generate an integer sequence ranging 0-255, and line map is applied to scramble the position of the integer sequence. A series of experiments have been conducted to compare multiple cryptographic criteria of LLCMLM with other algorithms. Simulation results indicate that LLCMLM meets well with the design criteria of the S-box.

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A novel method for designing nonlinear component for block cipher based on TD-ERCS chaotic sequence

Cited by 34 publications

References 21 publications

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

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

Impact of 16-Primitive Irreducible Polynomials Over Erection of High Performance S-Boxes Emanate from Linear Fractional Transformation

S-box: L-L Cascade Chaotic Map and Line Map

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