A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation
In the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger....
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| Format: | Article |
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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/9991167/ |
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| author | Abid Mahboob Muhammad Asif Muhammad Nadeem Aysha Saleem Sayed M. Eldin Imran Siddique |
| author_facet | Abid Mahboob Muhammad Asif Muhammad Nadeem Aysha Saleem Sayed M. Eldin Imran Siddique |
| author_sort | Abid Mahboob |
| collection | DOAJ |
| description | In the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger. The dominating concept for developing S-boxes is linear fractional transformation. In this article, we proposed a novel technique to generate cryptographically strong S-box by using fractional transformation based on finite field. The substitute box is constructed in two phases. Firstly, general form of dynamic fractional transformation designed which work for odd exponents in the range [1-255]. The S-box is then constructed using quantic fractional transformation as an example. Secondly, in order to increase the unpredictability of proposed S-box, we use the symmetric group’s S256 permutation. The usefulness of the constructed S-box was also tested using several criteria such as nonlinearity, differential uniformity, strict avalanche criteria, linear approximation probability and bit independence criteria. To assess the reliability of S-box, its performance outcomes are compared to those of previously developed S-boxes. Furthermore, we utilized the suggested S-Box to the image encryption approach. Then, to determine the effectiveness of the encryption scheme, use several tests such as contrast, correlation, homogeneity, entropy, and energy. We have compared our results with different algorithms which ensured that the proposed strategy for ciphered image is excellent. |
| format | Article |
| id | doaj-art-c0c2fdc026af4d3489fbb32893cc919a |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | IEEE |
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| series | IEEE Access |
| spelling | doaj-art-c0c2fdc026af4d3489fbb32893cc919a2025-01-30T00:01:22ZengIEEEIEEE Access2169-35362022-01-011013290813291610.1109/ACCESS.2022.32301419991167A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional TransformationAbid Mahboob0Muhammad Asif1https://orcid.org/0000-0001-5684-4737Muhammad Nadeem2Aysha Saleem3Sayed M. Eldin4Imran Siddique5Department of Mathematics, Division of Science and Technology, University of Education, Lahore, PakistanDepartment of Mathematics, University of Management and Technology, Sialkot Campus, Sialkot, PakistanDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore, PakistanDepartment of Mathematics, Division of Science and Technology, University of Education, Lahore, PakistanCenter of Research, Faculty of Engineering, Future University in Egypt, New Cairo, EgyptDepartment of Mathematics, University of Management and Technology, Lahore, PakistanIn the new era of cryptography, Substitution Boxes (S-Boxes) are very important to raise confusion in cipher text and the security of encryption directly depends on the algebraic strength of S-box. To avoid a hacker attack, researchers are focusing on creating dynamic S-boxes that are much stronger. The dominating concept for developing S-boxes is linear fractional transformation. In this article, we proposed a novel technique to generate cryptographically strong S-box by using fractional transformation based on finite field. The substitute box is constructed in two phases. Firstly, general form of dynamic fractional transformation designed which work for odd exponents in the range [1-255]. The S-box is then constructed using quantic fractional transformation as an example. Secondly, in order to increase the unpredictability of proposed S-box, we use the symmetric group’s S256 permutation. The usefulness of the constructed S-box was also tested using several criteria such as nonlinearity, differential uniformity, strict avalanche criteria, linear approximation probability and bit independence criteria. To assess the reliability of S-box, its performance outcomes are compared to those of previously developed S-boxes. Furthermore, we utilized the suggested S-Box to the image encryption approach. Then, to determine the effectiveness of the encryption scheme, use several tests such as contrast, correlation, homogeneity, entropy, and energy. We have compared our results with different algorithms which ensured that the proposed strategy for ciphered image is excellent.https://ieeexplore.ieee.org/document/9991167/AES algorithmblock cipherfractional transformationsubstitution boximage encryption |
| spellingShingle | Abid Mahboob Muhammad Asif Muhammad Nadeem Aysha Saleem Sayed M. Eldin Imran Siddique A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation IEEE Access AES algorithm block cipher fractional transformation substitution box image encryption |
| title | A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation |
| title_full | A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation |
| title_fullStr | A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation |
| title_full_unstemmed | A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation |
| title_short | A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation |
| title_sort | cryptographic scheme for construction of substitution boxes using quantic fractional transformation |
| topic | AES algorithm block cipher fractional transformation substitution box image encryption |
| url | https://ieeexplore.ieee.org/document/9991167/ |
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