A new chaos function development through the combination of Circle map and MS map
Digital data protection is very important to prevent manipulation of digital data by unauthorized parties. Reliable techniques for securing digital data are needed, safe and fast. One technique is to use cryptography. One of the cryptographic techniques that can be used to encode digital data is to...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2024-01-01
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| Series: | ITM Web of Conferences |
| Subjects: | |
| Online Access: | https://www.itm-conferences.org/articles/itmconf/pdf/2024/04/itmconf_iscpms2024_01005.pdf |
| _version_ | 1797343623813005312 |
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| author | Mursidah Ichsani Mt Suryadi Madenda Sarifuddin |
| author_facet | Mursidah Ichsani Mt Suryadi Madenda Sarifuddin |
| author_sort | Mursidah Ichsani |
| collection | DOAJ |
| description | Digital data protection is very important to prevent manipulation of digital data by unauthorized parties. Reliable techniques for securing digital data are needed, safe and fast. One technique is to use cryptography. One of the cryptographic techniques that can be used to encode digital data is to use the chaos function. We propose in this paper a new chaos function which is a composition of Circle map and MS map functions. This function has chaotic nature and the result of which is named the MSI-Circle map. The sensitivity and randomness tests of the MSI-Circle map function are carried out using a bifurcation diagram, Lyapunov exponent, and NIST test suites. The analysis result of the bifurcation diagram shows that the MSI-Circle map has a good density at the value of r ∈ (−∞,−3] ∪ [3,−∞]. Lyapunov exponent has a non-negative value at x0 = 0.4, r = 3.8, Ω = 0.5, λ = 2.1, K = 4 which is the domain xn ∈ (0, 1) and parameter values r, Ω, λ and K are any real numbers. The results of the NIST randomness level test show that the MSI-Circle map function passed all the randomness test of 16 NIST tests. |
| first_indexed | 2024-03-08T10:50:28Z |
| format | Article |
| id | doaj.art-8b451f29f4d04a3bae313164806eee25 |
| institution | Directory Open Access Journal |
| issn | 2271-2097 |
| language | English |
| last_indexed | 2024-03-08T10:50:28Z |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ITM Web of Conferences |
| spelling | doaj.art-8b451f29f4d04a3bae313164806eee252024-01-26T16:48:07ZengEDP SciencesITM Web of Conferences2271-20972024-01-01610100510.1051/itmconf/20246101005itmconf_iscpms2024_01005A new chaos function development through the combination of Circle map and MS mapMursidah Ichsani0Mt Suryadi1Madenda Sarifuddin2Department of Information Technology, Universitas GunadarmaDepartment of Mathematics, Faculty of Mathematics and Natural Sciences (FMIPA), Universitas IndonesiaDepartment of Information Technology, Universitas GunadarmaDigital data protection is very important to prevent manipulation of digital data by unauthorized parties. Reliable techniques for securing digital data are needed, safe and fast. One technique is to use cryptography. One of the cryptographic techniques that can be used to encode digital data is to use the chaos function. We propose in this paper a new chaos function which is a composition of Circle map and MS map functions. This function has chaotic nature and the result of which is named the MSI-Circle map. The sensitivity and randomness tests of the MSI-Circle map function are carried out using a bifurcation diagram, Lyapunov exponent, and NIST test suites. The analysis result of the bifurcation diagram shows that the MSI-Circle map has a good density at the value of r ∈ (−∞,−3] ∪ [3,−∞]. Lyapunov exponent has a non-negative value at x0 = 0.4, r = 3.8, Ω = 0.5, λ = 2.1, K = 4 which is the domain xn ∈ (0, 1) and parameter values r, Ω, λ and K are any real numbers. The results of the NIST randomness level test show that the MSI-Circle map function passed all the randomness test of 16 NIST tests.https://www.itm-conferences.org/articles/itmconf/pdf/2024/04/itmconf_iscpms2024_01005.pdflyapunov exponentbifurcation diagramms mapcircle mapchaos function |
| spellingShingle | Mursidah Ichsani Mt Suryadi Madenda Sarifuddin A new chaos function development through the combination of Circle map and MS map ITM Web of Conferences lyapunov exponent bifurcation diagram ms map circle map chaos function |
| title | A new chaos function development through the combination of Circle map and MS map |
| title_full | A new chaos function development through the combination of Circle map and MS map |
| title_fullStr | A new chaos function development through the combination of Circle map and MS map |
| title_full_unstemmed | A new chaos function development through the combination of Circle map and MS map |
| title_short | A new chaos function development through the combination of Circle map and MS map |
| title_sort | new chaos function development through the combination of circle map and ms map |
| topic | lyapunov exponent bifurcation diagram ms map circle map chaos function |
| url | https://www.itm-conferences.org/articles/itmconf/pdf/2024/04/itmconf_iscpms2024_01005.pdf |
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