A novel efficient substitution-box design based on firefly algorithm and discrete chaotic map

Ahmed, Hussam; Zolkipli, Mohamad Fadli; Ahmad, Musheer

doi:10.1007/s00521-018-3557-3

Cited by 104 publications

(53 citation statements)

References 47 publications

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“…These chaos topographies make chaotic systems as a choice for the development of modern ciphers and many researchers have used chaos in the design of S-boxes. Authors [29][30][31][32][33][34][35][36][37][38][39] suggested S-boxes based on chaotic map and analyzed these along with the other existing S-box design methods. Analyses disclosed that the proposed S-boxes are strong against different attacks and hence suggest their usage in modern block ciphers.…”

Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.

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Section: Related Workmentioning

confidence: 99%

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Zahid

Arshad

2019

Symmetry

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“…Hussam et al practiced the firefly algorithm (FA) for optimizing an initial S-box from a discrete-space chaotic map in [18]. Zhang et al implemented the I-Ching Operators (ICO) evolved from Chinese I-Ching philosophy inventively for getting optimized 8×8 S-boxes in [19].…”

Section: Related Workmentioning

confidence: 99%

“…Practicing a total random (or chaos-based) search does not guarantee a strong S-box [25]. Therefore, it is persuasive to apply a systematic or metaheuristic search technique that can cogently explore and exploit the search space [18].…”

Section: Proposed Bijective S-box Constructionmentioning

confidence: 99%

“…As an option, a number of alternative methods are being investigated in recent past to yield S-boxes using various optimization techniques [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] and chaotic systems [26][27][28][29][30][31][32]. Theoretically, a strong S-box possesses the features like balancedness, high nonlinearity, small differential uniformity and linear probability, strict avalanche effect close to 0.5, output bits independence, low autocorrelation, etc.…”

Section: Introductionmentioning

confidence: 99%

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Sine‐Cosine Optimization‐Based Bijective Substitution‐Boxes Construction Using Enhanced Dynamics of Chaotic Map

et al. 2018

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This paper proposes a novel method of constructing strong substitution-boxes (S-boxes) of order n (4 ≤ n ≤ 8) based on a recent optimization algorithm known as sine-cosine algorithm (SCA). The paper also proposes a new 1D chaotic map, which owns enhanced dynamics compared to conventional chaotic map, for generating initial population of S-boxes and facilitating the optimization mechanism of SCA. The proposed method applies the SCA with enhanced chaotic map to explore and exploit the search space for obtaining optimized S-boxes on the basis of maximization of nonlinearity as fitness function. The S-box construction involves three phases such as initialization of population, optimization, and adjustment. The simulation and performance analyses are done using standard measures of nonlinearity, strict avalanche criterion, bits independence criterion, differential uniformity, linear approximation probability, and autocorrelation function. The obtained experimental results are compared with some immediate optimization-based and other S-boxes to show the strength of proposed method for constructing bijective S-boxes of salient cryptographic features.

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“…where # denotes cardinality and is set of all inputs ℎ [3,24,25]. By using the approach introduced in [3], an input/output…”

Section: Differential Uniformity Differential Uniformity Is Another mentioning

confidence: 99%

A Novel Technique for the Construction of Safe Substitution Boxes Based on Cyclic and Symmetric Groups

Razaq

Al-Olayan

Ullah

et al. 2018

Security and Communication Networks

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In the literature, different algebraic techniques have been applied on Galois field (2 8 ) to construct substitution boxes. In this paper, instead of Galois field (2 8 ), we use a cyclic group 255 in the formation of proposed substitution box. The construction proposed S-box involves three simple steps. In the first step, we introduce a special type of transformation of order 255 to generate 255 . Next, we adjoin 0 to 255 and write the elements of 255 ∪ {0} in 16 × 16 matrix to destroy the initial sequence 0, 1, 2, . . . , 255.In the 2 nd step, the randomness in the data is increased by applying certain permutations of the symmetric group 16 on rows and columns of the matrix. In the last step we consider the symmetric group 256 , and positions of the elements of the matrix obtained in step 2 are changed by its certain permutations to construct the suggested S-box. The strength of our S-box to work against cryptanalysis is checked through various tests. The results are then compared with the famous S-boxes. The comparison shows that the ability of our S-box to create confusion is better than most of the famous S-boxes.

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A novel efficient substitution-box design based on firefly algorithm and discrete chaotic map

Cited by 104 publications

References 47 publications

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Sine‐Cosine Optimization‐Based Bijective Substitution‐Boxes Construction Using Enhanced Dynamics of Chaotic Map

A Novel Technique for the Construction of Safe Substitution Boxes Based on Cyclic and Symmetric Groups

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