Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System
Over the last few decades, different mediums of secure communication use chaos which is demonstrated by some nonlinear dynamical systems. Chaos shows unpredictable behavior and this characteristic is quite helpful in different encryption techniques and for multimedia security. In this work, the chao...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/8915692/ |
| _version_ | 1828977257149890560 |
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| author | Sajjad Shaukat Jamal Amir Anees Musheer Ahmad Muhammad Fahad Khan Iqtadar Hussain |
| author_facet | Sajjad Shaukat Jamal Amir Anees Musheer Ahmad Muhammad Fahad Khan Iqtadar Hussain |
| author_sort | Sajjad Shaukat Jamal |
| collection | DOAJ |
| description | Over the last few decades, different mediums of secure communication use chaos which is demonstrated by some nonlinear dynamical systems. Chaos shows unpredictable behavior and this characteristic is quite helpful in different encryption techniques and for multimedia security. In this work, the chaotic behavior of the improved Tent-Sine map is conferred and ultimately a new method to construct substitution-boxes is proposed. This new method explores the features of chaos through TSS map and algebraic Mobius transformation to generate strong S-boxes. The S-boxes are assessed using standard tests suit which includes nonlinearity, strict avalanche criterion, bit independence criterion, linear approximation probability and differential uniformity. Moreover, the proposed S-boxes show excellent statistical properties under majority logic criterions such as correlation, homogeneity, energy, entropy, contrast. The statistical encryption results are demonstrate the better performance of the proposed S-boxes when compared with some of state of the art S-boxes including AES, Gray, APA S8 AES, Skipjack and validate the suitability of anticipated method. |
| first_indexed | 2024-12-14T14:54:10Z |
| format | Article |
| id | doaj.art-6226e4cde0d941f38f2f55c76aae4e8a |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-14T14:54:10Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6226e4cde0d941f38f2f55c76aae4e8a2022-12-21T22:57:02ZengIEEEIEEE Access2169-35362019-01-01717327317328510.1109/ACCESS.2019.29563858915692Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine SystemSajjad Shaukat Jamal0https://orcid.org/0000-0002-5852-1955Amir Anees1Musheer Ahmad2https://orcid.org/0000-0002-4915-9325Muhammad Fahad Khan3https://orcid.org/0000-0001-8771-4724Iqtadar Hussain4https://orcid.org/0000-0002-2500-4214Department of Mathematics, College of Science, King Khalid University, Abha, Saudi ArabiaVictorian Institute of Technology, Melbourne, VIC, AustraliaDepartment of Computer Engineering, Jamia Millia Islamia, New Delhi, IndiaDepartment of Software Engineering, Foundation University Islamabad, Islamabad, PakistanDepartment of Mathematics, Statistics, and Physics, Qatar University, Doha, QatarOver the last few decades, different mediums of secure communication use chaos which is demonstrated by some nonlinear dynamical systems. Chaos shows unpredictable behavior and this characteristic is quite helpful in different encryption techniques and for multimedia security. In this work, the chaotic behavior of the improved Tent-Sine map is conferred and ultimately a new method to construct substitution-boxes is proposed. This new method explores the features of chaos through TSS map and algebraic Mobius transformation to generate strong S-boxes. The S-boxes are assessed using standard tests suit which includes nonlinearity, strict avalanche criterion, bit independence criterion, linear approximation probability and differential uniformity. Moreover, the proposed S-boxes show excellent statistical properties under majority logic criterions such as correlation, homogeneity, energy, entropy, contrast. The statistical encryption results are demonstrate the better performance of the proposed S-boxes when compared with some of state of the art S-boxes including AES, Gray, APA S8 AES, Skipjack and validate the suitability of anticipated method.https://ieeexplore.ieee.org/document/8915692/Substitution-boxblock cipherimproved chaotic mapnonlinearity |
| spellingShingle | Sajjad Shaukat Jamal Amir Anees Musheer Ahmad Muhammad Fahad Khan Iqtadar Hussain Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System IEEE Access Substitution-box block cipher improved chaotic map nonlinearity |
| title | Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System |
| title_full | Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System |
| title_fullStr | Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System |
| title_full_unstemmed | Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System |
| title_short | Construction of Cryptographic S-Boxes Based on Mobius Transformation and Chaotic Tent-Sine System |
| title_sort | construction of cryptographic s boxes based on mobius transformation and chaotic tent sine system |
| topic | Substitution-box block cipher improved chaotic map nonlinearity |
| url | https://ieeexplore.ieee.org/document/8915692/ |
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