Entropy Analysis and Image Encryption Application Based on a New Chaotic System Crossing a Cylinder

Farhan, Alaa Kadhim; Al-Saidi, Nadia M. G.; Maolood, Abeer Tariq; Nazarimehr, Fahimeh; Hussain, Iqtadar

doi:10.3390/e21100958

Cited by 56 publications

(45 citation statements)

References 61 publications

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“…In [28], the detailed explanation of the majority logic criterion (MLC) is represented. These analyses give a comparison of plaintext image and encrypted image and hence give the true assessment of an encryption scheme.…”

Section: E Majority Logic Criterion Testmentioning

confidence: 99%

A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher

et al. 2020

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In the symmetric key cryptography, the purpose of the substitution box is to generate confusion and hence improve the security of the whole cryptosystem. For this reason, many algebraic substitution boxes are constructed depending upon the associative algebras of Galois fields. In this paper, the power associative loop is used for the construction of substitution boxes. This novel structure comprises excellent features which include, the inverse of zero element, non-associativity and fewer constraints as compared to the cyclic group and Galois field. In comparison to existing substitution boxes, the substitution boxes based upon power associative loop are comparatively easy and the above-mentioned properties offer the number of structures to construct highly nonlinear substitution boxes. To obtain the number of substitution boxes, we further applied the symmetric group of order 16 on the proposed substitution box. The evaluation of proposed boxes with different algebraic and statistical analyses like nonlinearity test, strict avalanche criterion, bit independence criterion, linear approximation probability and differential approximation probability indicate the strength of proposed substitution boxes. Majority logic criterion results depict that proposed substitution boxes have better cryptographic strength to apply in different techniques of secure communication.

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Section: E Majority Logic Criterion Testmentioning

confidence: 99%

A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher

et al. 2020

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“…In 2020, Wang et al introduced a novel GA for the generation of bijective substitution boxes with high nonlinearity [49]. Besides the aforementioned, there are some recently published papers that combine chaotic number generators, elliptic curves, quantum computing, and heuristic methods in the design of dynamic and key-dependent S-boxes with good cryptographic properties [22]- [27], [50]- [56], [58]- [60].…”

Section: Introductionmentioning

confidence: 99%

Evolving Nonlinear S-Boxes With Improved Theoretical Resilience to Power Attacks

et al. 2020

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Substitution boxes are the main nonlinear component of block ciphers. The security of these ciphers against linear, differential, or side-channel attacks is dependent on the design of such component and their intrinsic properties. There are several methods that aim to cryptographically define, generate, or search for strong substitution boxes. The application of combinatorial optimization algorithms is one of the most useful methodologies in this research area. In this paper, we present a novel hybrid method based on the Leaders and Followers and hill-climbing over Hamming Weight Classes metaheuristics, coupled with a new trade-off fitness function that generates 8-bit bijective substitution boxes with good resisting properties towards classical cryptanalysis and side-channel attacks by power consumption. We address the best Pareto optimal solutions for the multi-objective optimization of non-linearity and confusion coefficient variance.

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“…Depending upon how data is processed, the cryptographic algorithms can be classified as block ciphers and stream ciphers. A block cipher is a method of encrypting text in which a cryptographic key and algorithm are applied to a block of data at once as a group, called blocks, with an unvarying transformation [3][4][5]. The block ciphers employ the layers of permutation and substitution for strong design capable of exhibiting strong confusion and diffusion properties.…”

Section: Introductionmentioning

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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Entropy Analysis and Image Encryption Application Based on a New Chaotic System Crossing a Cylinder

Cited by 56 publications

References 61 publications

A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher

A Power Associative Loop Structure for the Construction of Non-Linear Components of Block Cipher

Evolving Nonlinear S-Boxes With Improved Theoretical Resilience to Power Attacks

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

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