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

Razaq, Abdul; Al-Olayan, Hanan A.; Ullah, Atta; Riaz, Arshad; Waheed, Adil

doi:10.1155/2018/4987021

Cited by 18 publications

(9 citation statements)

References 18 publications

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“…On the other hand, contrast analysis estimates the loss of brightness in the host image. All data are evaluated using MLC, for the purpose of producing the best S-box for encryption [18], [19], [37], [38].…”

Section: Evaluation Analysis Of S-boxmentioning

confidence: 99%

New DNA Coded Fuzzy Based (DNAFZ) S-Boxes: Application to Robust Image Encryption Using Hyper Chaotic Maps

2021

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This article proposes a novel approach of improvising the cryptographic features of substitution-boxes (S-Box) based on the Choquet Fuzzy Integral (CFI) and DNA techniques. First, we propose a strong structure for the construction of four S-Boxes using CFI. The key for generating the CFI based (FZ) S-Boxes consists of two parts, namely, an external secret key and a secret image. Each of these FZ S-boxes is then encoded using DNA techniques, with dynamic rules selection which is dictated by a secret control code. The resultant four S-boxes are designated as DNAFZ S-Boxes. To apply for image encryption, the plain image is, at first 8-bit binary-coded, shuffled by an M-sequence, and down-sampled into four sub-images. Subsequently, the pixel values of each sub-image are replaced with the corresponding values of one of the four DNAFZ S-Boxes. Next, each DNAFZ encoded sub-image is diffused with a different DNA encoded chaotic sequence from Chen's hyper-chaotic map. Finally, the four DNAFZ/Chaotic encoded sub-images are combined to build the final encrypted image. The proposed DNAFZ S-boxes shows excellent statistical properties under majority logic criterions such as correlation, homogeneity, energy, entropy, and contrast. Moreover, numerical simulation is used to examine the efficacy of encrypted images against different attacks. In particular, the values of the pixel correlation coefficient are found to be quite small either horizontally, vertically, or diagonally (between 7.8597e-04 and 0.00527, between 8.7856e-04 and 0.00452, and between 0.00241 and 0.00021, respectively). In addition, the information entropy of the encrypted image is found to be within the range of (7.9965:7.9989) which is very near to the ideal value of 8. As for the UACI and the NPCR, they are in the ranges between 33.46 and 33.32 and between 99.58 and 99.62, respectively. These values are also very close to the optimum ones. The results are compared to those of other encryption algorithms and proved that the proposed encryption method delivers better results than other conventional ones including LSS chaotic map, Arnold transforms, Dynamic Henon map, Hybrid chaotic map optimized substitution, and cubic S-Box.

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Section: Evaluation Analysis Of S-boxmentioning

confidence: 99%

New DNA Coded Fuzzy Based (DNAFZ) S-Boxes: Application to Robust Image Encryption Using Hyper Chaotic Maps

2021

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“…The algebraic based construction of S-boxes has been rigorously investigated in literature [49][50][51][52]. The second half of the proposed hybrid method involves the algebraic group based cryptographic features improvisation of Sboxes generated in previous section III.A.…”

Section: B Proposed Group Structures and Actionsmentioning

confidence: 99%

Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures

et al. 2020

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This paper presents a hybrid method for the construction of cryptographically strong bijective substitution-boxes by utilizing the merits of chaotic map and algebraic groups. The hybrid method first generates the key-dependent dynamic S-boxes using chaotic heuristic search strategy and then the S-boxes are evolved with the help of potent proposed algebraic group structures. This paper proposes a new improved combination chaotic map to operate initial search strategy. To augment the strength of generated S-boxes, the algebraic group structures are discovered which have the power to improve their cryptographic strength. The performance assessments using standard criterions are rendered to quantify the strengths of proposed bijective S-boxes. The experimental results and comparisons with recent S-box research findings justify the effectiveness and competence of the proposed bijective S-boxes and anticipated hybrid generation method.

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“…To evaluate the strength of S-boxes, majority logic criterion, linear approximation probability, nonlinearity test, strict avalanche criterion analysis, bit independent criterion and differential uniformity test are used. In literature, different mathematical algorithms have been developed to generate strong S-boxes for better security which are based on Cubic Polynomial Mapping [10], Square polynomial transformation [11], Cubic fractional transformation [12], Cyclic and Symmetric group [13], chaotic permutation [14], graph theory [15], optimization technique [16], elliptic curve [17], [18], Hilbert curve [19], the action of matrices on Galois field [20] and [21] proposed a technique for constructing a high non-linear component of a block cypher using polynomial mapping and a finite field, etc.…”

Section: Introductionmentioning

confidence: 99%

A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation

et al. 2022

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In the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger. The dominating concept for developing S-boxes is linear fractional transformation. In this article, we proposed a novel technique to generate cryptographically strong S-box by using fractional transformation based on finite field. The substitute box is constructed in two phases. Firstly, general form of dynamic fractional transformation designed which work for odd exponents in the range . The S-box is then constructed using quantic fractional transformation as an example. Secondly, in order to increase the unpredictability of proposed S-box, we use the symmetric group's S 256 permutation. The usefulness of the constructed S-box was also tested using several criteria such as nonlinearity, differential uniformity, strict avalanche criteria, linear approximation probability and bit independence criteria. To assess the reliability of S-box, its performance outcomes are compared to those of previously developed S-boxes. Furthermore, we utilized the suggested S-Box to the image encryption approach. Then, to determine the effectiveness of the encryption scheme, use several tests such as contrast, correlation, homogeneity, entropy, and energy. We have compared our results with different algorithms which ensured that the proposed strategy for ciphered image is excellent.

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

Cited by 18 publications

References 18 publications

New DNA Coded Fuzzy Based (DNAFZ) S-Boxes: Application to Robust Image Encryption Using Hyper Chaotic Maps

New DNA Coded Fuzzy Based (DNAFZ) S-Boxes: Application to Robust Image Encryption Using Hyper Chaotic Maps

Bijective S-Boxes Method Using Improved Chaotic Map-Based Heuristic Search and Algebraic Group Structures

A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation

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