An efficient method for the construction of block cipher with multi-chaotic systems

Khan, Majid; Shah, Tariq; Mahmood, Hasan; Gondal, Muhammad Asif

doi:10.1007/s11071-012-0675-9

Cited by 115 publications

(34 citation statements)

References 6 publications

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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%

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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: Linear Approximation Probability Analysismentioning

confidence: 78%

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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“…In [19] for generation S-boxes an algorithm based on chaotic map and composition method is used. In [20] a method for the construction of block ciphers with multi-chaotic systems is proposed. In the paper of D. Lambic the security analysis and improvement of a block cipher with dynamic S-boxes based on tent map is analyzed [21].…”

Section: Gfmentioning

confidence: 99%

A Novel Method to Design S-Boxes Based on Key-Dependent Permutation Schemes and its Quality Analysis

Kazlauskas¹,

Smaliukas²,

Vaicekauskas³

2016

ijacsa

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Abstract-S-boxes are used in block ciphers as the important nonlinear components. The nonlinearity provides important protection against linear and differential cryptanalysis. The Sboxes used in encryption process could be chosen to be keydependent. In this paper, we have presented four simple algorithms for generation key-dependent S-boxes. For quality analysis of the key-dependent S-boxes, we have proposed eight distance metrics. We have assumed the Matlab function "randperm" as standard of permutation and compared it with permutation possibilities of the proposed algorithms. In the second section we describe four algorithms, which generate keydependent S-boxes. In the third section we analyze eight normalized distance metrics which we have used for evaluation of the quality of the key-dependent generation algorithms. Afterwards, we experimentally investigate the quality of the generated key-dependent S-boxes. Comparison results show that the key-dependent S-boxes have good quality and may be applied in cipher systems.

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“…Tian and Lu [15] structured dynamic chaos-based -box in conjunction with DNA sequence operation. Some other more efficient algorithms could be reviewed in [6,[16][17][18][19][20]. In addition to this, applications of -boxes in digital image encryption, steganography, and watermarking have become quite popular and influential in recent years [4,11,13,21].…”

Section: Introductionmentioning

confidence: 99%

To Study the Effect of the Generating Polynomial on the Quality of Nonlinear Components in Block Ciphers

Mahmood

Farwa

Rafiq

et al. 2018

Security and Communication Networks

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Substitution box ( -box), being the only nonlinear component, contributes to the confusion creating capability of a cryptosystem. Keeping in view the predominant role of -box, many design algorithms to synthesize cryptographically stronger -boxes have gained pivotal attention. A quick review of these algorithms shows that all these ideas mainly concentrate on the choice of bijective Boolean functions, with nonobservance to the irreducible polynomial that generates the Galois field. In this paper, we propose that the selection of irreducible polynomial has a deep influence on the highly desirable features of an -box such as nonlinearity, strict avalanche, bit independence, linear approximation probability, and differential approximation probability. We underpin our claim by investigating a detailed model, which deploys the same algorithm but different polynomials and produces unusual changes in the results regarding the performance parameters of -box.

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An efficient method for the construction of block cipher with multi-chaotic systems

Cited by 115 publications

References 6 publications

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

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

A Novel Method to Design S-Boxes Based on Key-Dependent Permutation Schemes and its Quality Analysis

To Study the Effect of the Generating Polynomial on the Quality of Nonlinear Components in Block Ciphers

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