A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure
Substitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties simultaneously. A number of S-box studies have bee...
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| Format: | Article |
| Language: | English |
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IEEE
2022-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9932605/ |
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| author | Amirul Haque Tabarak Ali Abdulhussein Musheer Ahmad Mayadah Waheed Falah Ahmed A. Abd El-Latif |
| author_facet | Amirul Haque Tabarak Ali Abdulhussein Musheer Ahmad Mayadah Waheed Falah Ahmed A. Abd El-Latif |
| author_sort | Amirul Haque |
| collection | DOAJ |
| description | Substitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties simultaneously. A number of S-box studies have been investigated in literature; but, the generated S-box found to exhibit one single property with good score. This paper proposes a novel creation of S-boxes which possess excellent scores of multiple cryptographic properties instead of only one property. The suggested hybrid S-box method explores the science of two-dimensional cellular automata theory, discrete chaotic maps, and algebraic group structure. The proposed anticipated <inline-formula> <tex-math notation="LaTeX">$8\times 8$ </tex-math></inline-formula> S-box holds excellent security performance features such as: minimum nonlinearity as high as 110, no fixed points, satisfaction of strict avalanche and bits independence criterions, differential uniformity as low as 6, linear approximation probability as low as 0.0703, and auto-correlation function (absolute indicator) of 40. The performance comparison indicates the proposed S-box has superior features, greater inherent security and robustness strength than many available state of the art S-box methods. |
| format | Article |
| id | doaj-art-ec8145f7a7e9471db7da2424ab80f1e0 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-ec8145f7a7e9471db7da2424ab80f1e02024-12-11T00:02:38ZengIEEEIEEE Access2169-35362022-01-011011616711618110.1109/ACCESS.2022.32180629932605A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic StructureAmirul Haque0Tabarak Ali Abdulhussein1https://orcid.org/0000-0001-5482-8821Musheer Ahmad2https://orcid.org/0000-0002-4915-9325Mayadah Waheed Falah3https://orcid.org/0000-0001-7232-6219Ahmed A. Abd El-Latif4https://orcid.org/0000-0002-5068-2033Department of Computer Engineering, Jamia Millia Islamia, New Delhi, IndiaDepartment of Accounting, College of Administrative and Financial Sciences, Imam Ja’afar Al-Sadiq University, Baghdad, IraqDepartment of Computer Engineering, Jamia Millia Islamia, New Delhi, IndiaBuilding and Construction Engineering Technology Department, Al-Mustaqbal University College, Hillah, IraqEIAS Data Science Laboratory, College of Computer and Information Sciences, Prince Sultan University, Riyadh, Saudi ArabiaSubstitution-boxes are the main deciding components in symmetric-key cryptosystems for resisting many cryptanalytic attacks. It has been a challenging task for the designers to construct strong S-box which satisfies multiple cryptographic properties simultaneously. A number of S-box studies have been investigated in literature; but, the generated S-box found to exhibit one single property with good score. This paper proposes a novel creation of S-boxes which possess excellent scores of multiple cryptographic properties instead of only one property. The suggested hybrid S-box method explores the science of two-dimensional cellular automata theory, discrete chaotic maps, and algebraic group structure. The proposed anticipated <inline-formula> <tex-math notation="LaTeX">$8\times 8$ </tex-math></inline-formula> S-box holds excellent security performance features such as: minimum nonlinearity as high as 110, no fixed points, satisfaction of strict avalanche and bits independence criterions, differential uniformity as low as 6, linear approximation probability as low as 0.0703, and auto-correlation function (absolute indicator) of 40. The performance comparison indicates the proposed S-box has superior features, greater inherent security and robustness strength than many available state of the art S-box methods.https://ieeexplore.ieee.org/document/9932605/Substitution-box2D cellular automatadiscrete chaotic mapssymmetric cryptographyalgebraic group |
| spellingShingle | Amirul Haque Tabarak Ali Abdulhussein Musheer Ahmad Mayadah Waheed Falah Ahmed A. Abd El-Latif A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure IEEE Access Substitution-box 2D cellular automata discrete chaotic maps symmetric cryptography algebraic group |
| title | A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure |
| title_full | A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure |
| title_fullStr | A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure |
| title_full_unstemmed | A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure |
| title_short | A Strong Hybrid S-Box Scheme Based on Chaos, 2D Cellular Automata and Algebraic Structure |
| title_sort | strong hybrid s box scheme based on chaos 2d cellular automata and algebraic structure |
| topic | Substitution-box 2D cellular automata discrete chaotic maps symmetric cryptography algebraic group |
| url | https://ieeexplore.ieee.org/document/9932605/ |
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