Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation
New era ciphers employ substitution boxes (S-boxes) which assist in the provision of security for the plaintext in the encryption phase and transforming the ciphertext on the receiver side into original plaintext in the decryption phase. The overall security of a given cipher engaging an S-box great...
| Main Authors: | , , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9447687/ |
| _version_ | 1818479649757331456 |
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| author | Amjad Hussain Zahid Hamza Rashid Mian Muhammad Umar Shaban Soban Ahmad Ehtezaz Ahmed Muhammad Tallal Amjad Muhammad Azfar Tariq Baig Muhammad Junaid Arshad Muhammad Nadeem Tariq Muhammad Waseem Tariq Muhammad Ayaz Zafar Abdul Basit |
| author_facet | Amjad Hussain Zahid Hamza Rashid Mian Muhammad Umar Shaban Soban Ahmad Ehtezaz Ahmed Muhammad Tallal Amjad Muhammad Azfar Tariq Baig Muhammad Junaid Arshad Muhammad Nadeem Tariq Muhammad Waseem Tariq Muhammad Ayaz Zafar Abdul Basit |
| author_sort | Amjad Hussain Zahid |
| collection | DOAJ |
| description | New era ciphers employ substitution boxes (S-boxes) which assist in the provision of security for the plaintext in the encryption phase and transforming the ciphertext on the receiver side into original plaintext in the decryption phase. The overall security of a given cipher engaging an S-box greatly depends on the cryptographic forte of the respective S-box. Consequently, many researchers have used different innovative approaches to construct robust S-Boxes. In this article, an innovative and modest square polynomial transformation, the very first time, along with a novel affine transformation and a pioneering permutation approach to construct dynamic S-boxes is proposed. The proposed method has the capability to erect a huge number of robust S-boxes by applying minute changes in the parameters of transformation and permutation processes. An example S-Box is generated, and its recital analysis has been done using typical criteria including bijectivity, strict avalanche criterion, nonlinearity, bit independence criterion, linear probability, differential probability, and fixed-point analysis to check its cryptographic forte. This performance of the proposed S-box is placed side by side against state-of-the-art S-boxes to prove its strength. The performance and comparative analyses authenticate that the projected S-box possesses the true competence for its application in modern-day ciphers. |
| first_indexed | 2024-12-10T11:13:33Z |
| format | Article |
| id | doaj.art-6f81301b530c4bf5b6892f170b93deb0 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-10T11:13:33Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6f81301b530c4bf5b6892f170b93deb02022-12-22T01:51:19ZengIEEEIEEE Access2169-35362021-01-019823908240110.1109/ACCESS.2021.30867179447687Dynamic S-Box Design Using a Novel Square Polynomial Transformation and PermutationAmjad Hussain Zahid0https://orcid.org/0000-0002-6123-6610Hamza Rashid1https://orcid.org/0000-0002-2821-0152Mian Muhammad Umar Shaban2Soban Ahmad3Ehtezaz Ahmed4Muhammad Tallal Amjad5Muhammad Azfar Tariq Baig6Muhammad Junaid Arshad7Muhammad Nadeem Tariq8Muhammad Waseem Tariq9https://orcid.org/0000-0002-0501-0692Muhammad Ayaz Zafar10Abdul Basit11School of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanDepartment of Computer Science, University of Engineering and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanSchool of Systems and Technology, University of Management and Technology, Lahore, PakistanNew era ciphers employ substitution boxes (S-boxes) which assist in the provision of security for the plaintext in the encryption phase and transforming the ciphertext on the receiver side into original plaintext in the decryption phase. The overall security of a given cipher engaging an S-box greatly depends on the cryptographic forte of the respective S-box. Consequently, many researchers have used different innovative approaches to construct robust S-Boxes. In this article, an innovative and modest square polynomial transformation, the very first time, along with a novel affine transformation and a pioneering permutation approach to construct dynamic S-boxes is proposed. The proposed method has the capability to erect a huge number of robust S-boxes by applying minute changes in the parameters of transformation and permutation processes. An example S-Box is generated, and its recital analysis has been done using typical criteria including bijectivity, strict avalanche criterion, nonlinearity, bit independence criterion, linear probability, differential probability, and fixed-point analysis to check its cryptographic forte. This performance of the proposed S-box is placed side by side against state-of-the-art S-boxes to prove its strength. The performance and comparative analyses authenticate that the projected S-box possesses the true competence for its application in modern-day ciphers.https://ieeexplore.ieee.org/document/9447687/Linear fractional transformationsquare polynomial transformationdynamic affine transformationpermutationsubstitution box |
| spellingShingle | Amjad Hussain Zahid Hamza Rashid Mian Muhammad Umar Shaban Soban Ahmad Ehtezaz Ahmed Muhammad Tallal Amjad Muhammad Azfar Tariq Baig Muhammad Junaid Arshad Muhammad Nadeem Tariq Muhammad Waseem Tariq Muhammad Ayaz Zafar Abdul Basit Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation IEEE Access Linear fractional transformation square polynomial transformation dynamic affine transformation permutation substitution box |
| title | Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation |
| title_full | Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation |
| title_fullStr | Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation |
| title_full_unstemmed | Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation |
| title_short | Dynamic S-Box Design Using a Novel Square Polynomial Transformation and Permutation |
| title_sort | dynamic s box design using a novel square polynomial transformation and permutation |
| topic | Linear fractional transformation square polynomial transformation dynamic affine transformation permutation substitution box |
| url | https://ieeexplore.ieee.org/document/9447687/ |
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