A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map

Razaq, Abdul; Yousaf, Awais; Shuaib, Umer; Siddiqui, Nasir; Ullah, Atta; Waheed, Adil

doi:10.1155/2017/5101934

Cited by 49 publications

(31 citation statements)

References 15 publications

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“…Many other researchers have designed S-Boxes using several techniques and concepts like graph isomorphism [45], coset diagrams [46], linear fractional transformation [47][48][49][50], etc. Ciphers based on S-box are highly dependent on the security features of the used S-box.…”

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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“…(c) The bits independent criterion for nonlinearity and SAC comes out as 104.07 and 0.5020 for proposed S-box. Our BIC-NL results are fairly higher than S-boxes investigated in [10,12,15,16,19,26,[28][29][30][31]34] and BIC-SAC satisfies the avalanche criterion with negligible margin like other Sboxes. Hence, satisfaction of bits independence criterion is consistent and better than most of the 8×8 S-boxes.…”

Section: Comparisonmentioning

confidence: 59%

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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“…We used JPEG image of a baboon for this analysis. .9832 is better than that of [4,24,26,46,47]. e entropy value is very close to the ideal value, which is 8. e values of contrast, correlation, energy, and homogeneity also indicate the proposed scheme provides a strong S-box which is suitable for encryption applications.…”

Section: Majority Logic Criteriamentioning

confidence: 74%

Construction of New S-Box Using Action of Quotient of the Modular Group for Multimedia Security

Shahzad

Mushtaq

Razaq

2019

Security and Communication Networks

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Substitution box (S-box) is a vital nonlinear component for the security of cryptographic schemes. In this paper, a new technique which involves coset diagrams for the action of a quotient of the modular group on the projective line over the nite eld is proposed for construction of an S-box. It is constructed by selecting vertices of the coset diagram in a special manner. A useful transformation involving Fibonacci sequence is also used in selecting the vertices of the coset diagram. Finally, all the analyses to examine the security strength are performed. e outcomes of the analyses are encouraging and show that the generated S-box is highly secure.

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A Novel Construction of Substitution Box Involving Coset Diagram and a Bijective Map

Cited by 49 publications

References 15 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

Construction of New S-Box Using Action of Quotient of the Modular Group for Multimedia Security

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