Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing
In order to ensure reliable and secure image exchange, chaotic systems are often considered for their good performance in information security. In this work, we first propose an extended version of a chaotic tent map (TM)—the multiparametric 1D tent map (MTM). The latter contains six control paramet...
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MDPI AG
2023-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/11/7/1589 |
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| author | Achraf Daoui Mohamed Yamni Samia Allaoua Chelloug Mudasir Ahmad Wani Ahmed A. Abd El-Latif |
| author_facet | Achraf Daoui Mohamed Yamni Samia Allaoua Chelloug Mudasir Ahmad Wani Ahmed A. Abd El-Latif |
| author_sort | Achraf Daoui |
| collection | DOAJ |
| description | In order to ensure reliable and secure image exchange, chaotic systems are often considered for their good performance in information security. In this work, we first propose an extended version of a chaotic tent map (TM)—the multiparametric 1D tent map (MTM). The latter contains six control parameters defined over an unlimited range. These parameters strongly influence the MTM output when they are slightly modified by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∓</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup></mrow></semantics></math></inline-formula>, which makes MTM stronger than the existing TM and other 1D chaotic maps in terms of security key space. Then, this paper proposes a simple, yet powerful method to make uniform the distribution of chaotic sequence values, making the latter suitable for use in cryptosystems. Next, a new image cryptosystem is introduced based on MTM and parallel computing. This computing mode is incorporated to boost the security level of our scheme and to speed up its runtime. Indeed, in only one running round, our encryption scheme generates a security key of space equal to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mn>10</mn></mrow><mrow><mn>78</mn><mo>×</mo><mi>n</mi></mrow></msup></mrow></semantics></math></inline-formula> with <i>n</i> indicating the number of the available CPU cores. Therefore, the suggested scheme achieves a good trade-off between safety and efficiency. The results of the performed comparisons and numerical experiments indicate on the one hand that MTM exhibits good chaotic characteristics in comparison to its original version. On the other hand, the suggested cryptosystem demonstrates good strength against various kinds of attacks (brute force, statistical, classical, noise, differential, etc.). Furthermore, comparison with similar schemes indicate that the proposed scheme is competitive in terms of execution time and superior in terms of security level. |
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| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-11T05:30:35Z |
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| spelling | doaj.art-4f7286094c7d4eada4e62efe6281cd4e2023-11-17T17:07:47ZengMDPI AGMathematics2227-73902023-03-01117158910.3390/math11071589Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel ComputingAchraf Daoui0Mohamed Yamni1Samia Allaoua Chelloug2Mudasir Ahmad Wani3Ahmed A. Abd El-Latif4National School of Applied Sciences, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, MoroccoDhar El Mahrez Faculty of Science, Sidi Mohamed Ben Abdellah-Fez University, Fez 30000, MoroccoDepartment of Information Technology, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, Riyadh 11671, Saudi ArabiaEIAS Data Science Lab, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaEIAS Data Science Lab, College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi ArabiaIn order to ensure reliable and secure image exchange, chaotic systems are often considered for their good performance in information security. In this work, we first propose an extended version of a chaotic tent map (TM)—the multiparametric 1D tent map (MTM). The latter contains six control parameters defined over an unlimited range. These parameters strongly influence the MTM output when they are slightly modified by <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>∓</mo><msup><mrow><mn>10</mn></mrow><mrow><mo>−</mo><mn>13</mn></mrow></msup></mrow></semantics></math></inline-formula>, which makes MTM stronger than the existing TM and other 1D chaotic maps in terms of security key space. Then, this paper proposes a simple, yet powerful method to make uniform the distribution of chaotic sequence values, making the latter suitable for use in cryptosystems. Next, a new image cryptosystem is introduced based on MTM and parallel computing. This computing mode is incorporated to boost the security level of our scheme and to speed up its runtime. Indeed, in only one running round, our encryption scheme generates a security key of space equal to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mrow><mn>10</mn></mrow><mrow><mn>78</mn><mo>×</mo><mi>n</mi></mrow></msup></mrow></semantics></math></inline-formula> with <i>n</i> indicating the number of the available CPU cores. Therefore, the suggested scheme achieves a good trade-off between safety and efficiency. The results of the performed comparisons and numerical experiments indicate on the one hand that MTM exhibits good chaotic characteristics in comparison to its original version. On the other hand, the suggested cryptosystem demonstrates good strength against various kinds of attacks (brute force, statistical, classical, noise, differential, etc.). Furthermore, comparison with similar schemes indicate that the proposed scheme is competitive in terms of execution time and superior in terms of security level.https://www.mdpi.com/2227-7390/11/7/1589image encryptiontent map1D chaotic systems/mapsmultiparametric chaotic mapparallel computingcryptosystem |
| spellingShingle | Achraf Daoui Mohamed Yamni Samia Allaoua Chelloug Mudasir Ahmad Wani Ahmed A. Abd El-Latif Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing Mathematics image encryption tent map 1D chaotic systems/maps multiparametric chaotic map parallel computing cryptosystem |
| title | Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing |
| title_full | Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing |
| title_fullStr | Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing |
| title_full_unstemmed | Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing |
| title_short | Efficient Image Encryption Scheme Using Novel 1D Multiparametric Dynamical Tent Map and Parallel Computing |
| title_sort | efficient image encryption scheme using novel 1d multiparametric dynamical tent map and parallel computing |
| topic | image encryption tent map 1D chaotic systems/maps multiparametric chaotic map parallel computing cryptosystem |
| url | https://www.mdpi.com/2227-7390/11/7/1589 |
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