Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves
Securing transmission of information between legitimate transmitter and receiver sides is a great challenge for mathematicians, computer scientists and engineers in recent years. This paper aims at achieving three goals. The first of them is to introduce a novel fractional order two dimensional (2D)...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9044191/ |
| _version_ | 1818853216006176768 |
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| author | Abdulrahman Al-Khedhairi Amr Elsonbaty Abdelalim A. Elsadany Esam A. A. Hagras |
| author_facet | Abdulrahman Al-Khedhairi Amr Elsonbaty Abdelalim A. Elsadany Esam A. A. Hagras |
| author_sort | Abdulrahman Al-Khedhairi |
| collection | DOAJ |
| description | Securing transmission of information between legitimate transmitter and receiver sides is a great challenge for mathematicians, computer scientists and engineers in recent years. This paper aims at achieving three goals. The first of them is to introduce a novel fractional order two dimensional (2D) map having very complex chaotic behavior and distinct large positive values of Lyapunov exponents over wide range of parameters, compared with other 2D maps in literature. Secondly, a new reliable secure encryption scheme combining the associated chaotic pseudo-orbits of the proposed map with the advantages of elliptic curves in public key cryptography is suggested, for first time, and applied to colored images. The hybrid scheme is capable to confirm reliable secret keys exchange in addition to highly obscure and hide transmitted information messages. Finally, a thorough mathematical analysis of security performance and evaluation of encryption scheme immunity against all possible attacks are carried out and proved its efficiency and robustness. |
| first_indexed | 2024-12-19T07:33:17Z |
| format | Article |
| id | doaj.art-3a014f86d6c845bb81dba3929bed514f |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-19T07:33:17Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-3a014f86d6c845bb81dba3929bed514f2022-12-21T20:30:38ZengIEEEIEEE Access2169-35362020-01-018577335774810.1109/ACCESS.2020.29825679044191Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic CurvesAbdulrahman Al-Khedhairi0https://orcid.org/0000-0002-5242-0280Amr Elsonbaty1https://orcid.org/0000-0001-7125-9675Abdelalim A. Elsadany2Esam A. A. Hagras3Department of Statistics and Operations Researches, College of Science, King Saud University, Riyadh, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi ArabiaCommunication and Computer Department, Faculty of Engineering, Delta University for Science and Technology, Mansoura, EgyptSecuring transmission of information between legitimate transmitter and receiver sides is a great challenge for mathematicians, computer scientists and engineers in recent years. This paper aims at achieving three goals. The first of them is to introduce a novel fractional order two dimensional (2D) map having very complex chaotic behavior and distinct large positive values of Lyapunov exponents over wide range of parameters, compared with other 2D maps in literature. Secondly, a new reliable secure encryption scheme combining the associated chaotic pseudo-orbits of the proposed map with the advantages of elliptic curves in public key cryptography is suggested, for first time, and applied to colored images. The hybrid scheme is capable to confirm reliable secret keys exchange in addition to highly obscure and hide transmitted information messages. Finally, a thorough mathematical analysis of security performance and evaluation of encryption scheme immunity against all possible attacks are carried out and proved its efficiency and robustness.https://ieeexplore.ieee.org/document/9044191/Chaos-based cryptographychaotic mapsdiscrete fractional calculuselliptic curvespseudo-orbits |
| spellingShingle | Abdulrahman Al-Khedhairi Amr Elsonbaty Abdelalim A. Elsadany Esam A. A. Hagras Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves IEEE Access Chaos-based cryptography chaotic maps discrete fractional calculus elliptic curves pseudo-orbits |
| title | Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves |
| title_full | Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves |
| title_fullStr | Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves |
| title_full_unstemmed | Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves |
| title_short | Hybrid Cryptosystem Based on Pseudo Chaos of Novel Fractional Order Map and Elliptic Curves |
| title_sort | hybrid cryptosystem based on pseudo chaos of novel fractional order map and elliptic curves |
| topic | Chaos-based cryptography chaotic maps discrete fractional calculus elliptic curves pseudo-orbits |
| url | https://ieeexplore.ieee.org/document/9044191/ |
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