A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation

Zahid, Amjad Hussain; Arshad, Muhammad Junaid; Ahmad, Musheer

doi:10.3390/e21030245

Cited by 96 publications

(65 citation statements)

References 46 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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“…The most popular and standard cryptographic properties of S-boxes are as follows: high nonlinearity, low differential uniformity, the strict avalanche criterion equals to 0.5, the satisfaction of bits independence criterion for high bits independence criterion (BIC) nonlinearity and BIC–strict avalanche criterion (SAC) close to 0.5, and low linear approximation probability. A majority of the existing S-boxes schemes have scrutinized their constructed S-boxes mainly against these security properties [ 37 , 38 , 39 , 40 , 41 ]. The following subsections analyzed the proposed S-boxes under the mentioned properties.…”

Section: Performance Results and Analysesmentioning

confidence: 99%

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

Ahmad

Alsolami

2020

Entropy

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Static substitution-boxes in fixed structured block ciphers may make the system vulnerable to cryptanalysis. However, key-dependent dynamic substitution-boxes (S-boxes) assume to improve the security and robustness of the whole cryptosystem. This paper proposes to present the construction of key-dependent dynamic S-boxes having high nonlinearity. The proposed scheme involves the evolution of initially generated S-box for improved nonlinearity based on the fractional-order time-delayed Hopfield neural network. The cryptographic performance of the evolved S-box is assessed by using standard security parameters, including nonlinearity, strict avalanche criterion, bits independence criterion, differential uniformity, linear approximation probability, etc. The proposed scheme is able to evolve an S-box having mean nonlinearity of 111.25, strict avalanche criteria value of 0.5007, and differential uniformity of 10. The performance assessments demonstrate that the proposed scheme and S-box have excellent features, and are thus capable of offering high nonlinearity in the cryptosystem. The comparison analysis further confirms the improved security features of anticipated scheme and S-box, as compared to many existing chaos-based and other S-boxes.

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“…The proposed framework makes the following assumptions about the S-box construction component, : 1) is keydependent, i.e., the generated S-box is determined by and , so that the decryption process can generate the inverse Sbox from the same key, 2) must be able to generate an unlimited number of S-boxes, to increase the key-space, and 3) must be able to generate a dynamic S-box reasonably fast, so that a new S-box is constructed for each image in real time. Any key-dependent dynamic S-box construction method satisfying these assumption, such as [12,14,25,[30][31][32][33][34][35][36][37][38][39][40][41], can replace the generic S-box component, ( ), where and map to the key of the S-box construction method. For example, the method in [11] uses repetitive functional composition to construct a dynamic S-box from of a set of initial static S-boxes.…”

Section: ) Dynamic S-box Construction Componentmentioning

confidence: 99%

Framework for Efficient Medical Image Encryption Using Dynamic S-Boxes and Chaotic Maps

et al. 2020

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Protecting patient privacy and medical records is a legal requirement. Traditional encryption methods fall short of handling the large volume of medical image data and their peculiar statistical properties. In this paper, we propose a generic medical image encryption framework based on a novel arrangement of two very efficient constructs, dynamic substitution boxes (S-boxes) and chaotic maps. The arrangement of S-box substitution before and after chaotic substitution is shown to successfully resist chosen plaintext and chosen ciphertext attacks. Special precautions are taken to fend off the reset attack against pseudorandom number generators. We show how to implement the generic framework using any key-dependent dynamic Sbox construction method and any chaotic map. Experimental results show that the proposed framework successfully passes all security tests regardless of the chaotic map used for implementation. Based on speed analysis, we recommend the use of the classical Baker map or Henon map to achieve encryption throughput approaching 90 MB/s on a modern PC without hardware acceleration. INDEX TERMS bijective substitution box, chaotic map, image encryption.

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A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation

Cited by 96 publications

References 46 publications

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping

Evolving Dynamic S-Boxes Using Fractional-Order Hopfield Neural Network Based Scheme

Framework for Efficient Medical Image Encryption Using Dynamic S-Boxes and Chaotic Maps

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