An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values

This paper deals with a plaintext-related image encryption algorithm that modifies the parameter values used by the logistic map according to plain image pixel intensities. The parameter values are altered in a row-wise manner, which enables the usage of the same procedure also during the decryption...

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Autores principales:	Jakub Oravec, Lubos Ovsenik, Jan Papaj
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	chaotic map image encryption logistic map Lyapunov exponent plaintext-related Science Q Astrophysics QB460-466 Physics QC1-999
Acceso en línea:	https://doaj.org/article/fffc81bbbc9e4e7e8ce426144c1447f0
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id	oai:doaj.org-article:fffc81bbbc9e4e7e8ce426144c1447f0
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spelling	oai:doaj.org-article:fffc81bbbc9e4e7e8ce426144c1447f02021-11-25T17:29:06ZAn Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values10.3390/e231113731099-4300https://doaj.org/article/fffc81bbbc9e4e7e8ce426144c1447f02021-10-01T00:00:00Zhttps://www.mdpi.com/1099-4300/23/11/1373https://doaj.org/toc/1099-4300This paper deals with a plaintext-related image encryption algorithm that modifies the parameter values used by the logistic map according to plain image pixel intensities. The parameter values are altered in a row-wise manner, which enables the usage of the same procedure also during the decryption. Furthermore, the parameter modification technique takes into account knowledge about the logistic map, its fixed points and possible periodic cycles. Since the resulting interval of parameter values achieves high positive values of Lyapunov exponents, the chaotic behavior of the logistic map should be most pronounced. These assumptions are verified by a set of experiments and the obtained numerical values are compared with those reported in relevant papers. It is found that the proposed design that uses a simpler, but well-studied, chaotic map with mitigated issues obtains results comparable with algorithms that use more complex chaotic systems. Moreover, the proposed solution is much faster than other approaches with a similar purpose.Jakub OravecLubos OvsenikJan PapajMDPI AGarticlechaotic mapimage encryptionlogistic mapLyapunov exponentplaintext-relatedScienceQAstrophysicsQB460-466PhysicsQC1-999ENEntropy, Vol 23, Iss 1373, p 1373 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	chaotic map image encryption logistic map Lyapunov exponent plaintext-related Science Q Astrophysics QB460-466 Physics QC1-999
spellingShingle	chaotic map image encryption logistic map Lyapunov exponent plaintext-related Science Q Astrophysics QB460-466 Physics QC1-999 Jakub Oravec Lubos Ovsenik Jan Papaj An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
description	This paper deals with a plaintext-related image encryption algorithm that modifies the parameter values used by the logistic map according to plain image pixel intensities. The parameter values are altered in a row-wise manner, which enables the usage of the same procedure also during the decryption. Furthermore, the parameter modification technique takes into account knowledge about the logistic map, its fixed points and possible periodic cycles. Since the resulting interval of parameter values achieves high positive values of Lyapunov exponents, the chaotic behavior of the logistic map should be most pronounced. These assumptions are verified by a set of experiments and the obtained numerical values are compared with those reported in relevant papers. It is found that the proposed design that uses a simpler, but well-studied, chaotic map with mitigated issues obtains results comparable with algorithms that use more complex chaotic systems. Moreover, the proposed solution is much faster than other approaches with a similar purpose.
format	article
author	Jakub Oravec Lubos Ovsenik Jan Papaj
author_facet	Jakub Oravec Lubos Ovsenik Jan Papaj
author_sort	Jakub Oravec
title	An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
title_short	An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
title_full	An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
title_fullStr	An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
title_full_unstemmed	An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values
title_sort	image encryption algorithm using logistic map with plaintext-related parameter values
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/fffc81bbbc9e4e7e8ce426144c1447f0
work_keys_str_mv	AT jakuboravec animageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues AT lubosovsenik animageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues AT janpapaj animageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues AT jakuboravec imageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues AT lubosovsenik imageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues AT janpapaj imageencryptionalgorithmusinglogisticmapwithplaintextrelatedparametervalues
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An Image Encryption Algorithm Using Logistic Map with Plaintext-Related Parameter Values

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