Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications
Block ciphers are essential for the secure exchange of data and communication, as they are one of the primary components of network security systems. Modern-day block ciphers are most significantly reliant on substitution-boxes (S-boxes). In essence, the security of these cryptosystems is contingent...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241681 |
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| author | Abdul Razaq Muhammad Mahboob Ahsan Hanan Alolaiyan Musheer Ahmad Qin Xin |
| author_facet | Abdul Razaq Muhammad Mahboob Ahsan Hanan Alolaiyan Musheer Ahmad Qin Xin |
| author_sort | Abdul Razaq |
| collection | DOAJ |
| description | Block ciphers are essential for the secure exchange of data and communication, as they are one of the primary components of network security systems. Modern-day block ciphers are most significantly reliant on substitution-boxes (S-boxes). In essence, the security of these cryptosystems is contingent upon the quality of the S-box that is implemented. Robustness and assurance of the security competency necessary to block ciphers are provided by the cryptographically strong S-boxes. A novel coset graph-based algebraic method was proposed to evolve a robust and efficient S-box in order to address the challenges of strong S-box generation. To begin, the vertices of coset graphs for two Galois fields and a bijective function were employed to generate an initial S-box of sufficient cryptographic strength. Afterwards, a permutation group of large order enhances the robustness of the initial S-box, ensuring its resistance against various cryptanalytic attacks. The proposed method's efficacy was verified by comparing the attributes of our S-box with those of S-boxes that have been recently investigated. Furthermore, the proposed S-box was used for image encryption. The outcome of the majority logic criterion (MLC) criteria, differential analysis, and histogram test demonstrates the suitability of the proposed S-box for secure multimedia applications in the results. |
| format | Article |
| id | doaj-art-e64ac08d09964717bf25df60d194f3f4 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-e64ac08d09964717bf25df60d194f3f42025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912353773540010.3934/math.20241681Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applicationsAbdul Razaq0Muhammad Mahboob Ahsan1Hanan Alolaiyan2Musheer Ahmad3Qin Xin4Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan, abdul.razaq@ue.edu.pkDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan, ahsanmahboob1983@gmail.comDepartment of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia, holayan@ksu.edu.saDepartment of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, India, musheer.cse@gmail.comFaculty of Science and Technology, University of the Faroe Islands, Vestara Bryggja 15, Faroe Islands, Denmark, qinx@setur.foBlock ciphers are essential for the secure exchange of data and communication, as they are one of the primary components of network security systems. Modern-day block ciphers are most significantly reliant on substitution-boxes (S-boxes). In essence, the security of these cryptosystems is contingent upon the quality of the S-box that is implemented. Robustness and assurance of the security competency necessary to block ciphers are provided by the cryptographically strong S-boxes. A novel coset graph-based algebraic method was proposed to evolve a robust and efficient S-box in order to address the challenges of strong S-box generation. To begin, the vertices of coset graphs for two Galois fields and a bijective function were employed to generate an initial S-box of sufficient cryptographic strength. Afterwards, a permutation group of large order enhances the robustness of the initial S-box, ensuring its resistance against various cryptanalytic attacks. The proposed method's efficacy was verified by comparing the attributes of our S-box with those of S-boxes that have been recently investigated. Furthermore, the proposed S-box was used for image encryption. The outcome of the majority logic criterion (MLC) criteria, differential analysis, and histogram test demonstrates the suitability of the proposed S-box for secure multimedia applications in the results.https://www.aimspress.com/article/doi/10.3934/math.20241681substitution-boxgalois fieldscoset graphsblock ciphersimage encryption |
| spellingShingle | Abdul Razaq Muhammad Mahboob Ahsan Hanan Alolaiyan Musheer Ahmad Qin Xin Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications AIMS Mathematics substitution-box galois fields coset graphs block ciphers image encryption |
| title | Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications |
| title_full | Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications |
| title_fullStr | Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications |
| title_full_unstemmed | Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications |
| title_short | Enhancing the robustness of block ciphers through a graphical S-box evolution scheme for secure multimedia applications |
| title_sort | enhancing the robustness of block ciphers through a graphical s box evolution scheme for secure multimedia applications |
| topic | substitution-box galois fields coset graphs block ciphers image encryption |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241681 |
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