Duple Color Image Encryption System Based on 3-D Nonequilateral Arnold Transform for IIoT

In the era of Industrial Internet of Things (IIoT), huge amounts of data are generated, which contains sensitive information. Therefore, how to protect data security is an important challenge in the development of IIoT. To this end, we propose a duple color image encryption method for IIoT. Differen...

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Published in:IEEE transactions on industrial informatics Vol. 19; no. 7; pp. 8285 - 8294
Main Authors: Huang, Huiqing, Cai, Zhanchuan
Format: Journal Article
Language:English
Published: Piscataway The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01.07.2023
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ISSN:1551-3203, 1941-0050
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Abstract In the era of Industrial Internet of Things (IIoT), huge amounts of data are generated, which contains sensitive information. Therefore, how to protect data security is an important challenge in the development of IIoT. To this end, we propose a duple color image encryption method for IIoT. Different from the traditional algorithm that encrypts one plain image into one ciphertext image, our algorithm encrypts two color images into one color ciphertext image which can cause great confusion to the attacker who illegally breaks the ciphertext image. First, the proposed algorithm converts two color images with [Formula Omitted] into a 3-D bit-level matrix with [Formula Omitted]. Next, 3-D nonequilateral Arnold transform (3D-NEAT) is applied to permutate the positions of the elements of the resulted 3-D bit-level matrix. Then, the permutated 3-D bit-level matrix is transformed into three 2-D pixel-level images and then diffused by the random diffusion sequences that 3-D Lorenz system (3D-LS) generates. Finally, the scrambling matrices generated by 3D-LS are used to scramble three diffused 2-D pixel-level images, and the output is considered as three color components of the encrypted image. The numerical experiments and security analyses show that the proposed image encryption scheme has strong resistance to several known attacks, and yields near-zero correlation and near-eight entropy for the RGB cipher image, and its performance is better than some of the recently proposed image encryption algorithms.
AbstractList In the era of Industrial Internet of Things (IIoT), huge amounts of data are generated, which contains sensitive information. Therefore, how to protect data security is an important challenge in the development of IIoT. To this end, we propose a duple color image encryption method for IIoT. Different from the traditional algorithm that encrypts one plain image into one ciphertext image, our algorithm encrypts two color images into one color ciphertext image which can cause great confusion to the attacker who illegally breaks the ciphertext image. First, the proposed algorithm converts two color images with [Formula Omitted] into a 3-D bit-level matrix with [Formula Omitted]. Next, 3-D nonequilateral Arnold transform (3D-NEAT) is applied to permutate the positions of the elements of the resulted 3-D bit-level matrix. Then, the permutated 3-D bit-level matrix is transformed into three 2-D pixel-level images and then diffused by the random diffusion sequences that 3-D Lorenz system (3D-LS) generates. Finally, the scrambling matrices generated by 3D-LS are used to scramble three diffused 2-D pixel-level images, and the output is considered as three color components of the encrypted image. The numerical experiments and security analyses show that the proposed image encryption scheme has strong resistance to several known attacks, and yields near-zero correlation and near-eight entropy for the RGB cipher image, and its performance is better than some of the recently proposed image encryption algorithms.
Author Huang, Huiqing
Cai, Zhanchuan
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Cites_doi 10.1007/s11128-019-2386-3
10.1016/j.sigpro.2018.09.029
10.1007/s11042-020-09828-z
10.1007/s11042-021-11796-x
10.1016/j.sigpro.2011.11.004
10.1109/TMM.2016.2569497
10.36909/jer.v9i3A.10111
10.1016/j.optcom.2012.07.033
10.1016/j.jksuci.2020.07.008
10.1080/0161-118991863745
10.1016/j.sigpro.2017.10.004
10.1016/j.optlaseng.2020.106139
10.1109/TMM.2020.3011315
10.1016/j.ins.2012.07.049
10.1109/TII.2019.2913217
10.1049/iet-ipr.2018.5654
10.1007/s11042-022-12062-4
10.1007/s11071-018-4390-z
10.1007/s11042-021-11051-3
10.1007/s13369-021-05529-3
10.1049/iet-ipr.2016.0552
10.1016/j.sigpro.2019.107286
10.1007/s13369-020-04413-w
10.1016/j.chaos.2021.111334
10.1049/iet-ipr.2019.0551
10.1109/TII.2018.2852491
10.1109/TII.2018.2791944
10.1007/s11128-018-2104-6
10.1109/TII.2020.3014158
10.1109/ACCESS.2019.2958319
10.1049/iet-ipr.2019.0168
10.1007/s11042-022-13015-7
10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
10.1142/S0218127410026563
10.1016/j.chaos.2021.111402
10.1007/s11042-020-09513-1
10.1117/1.jei.31.1.013031
10.1049/cit2.12053
10.1109/TII.2018.2832853
10.1142/S021812749800098X
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References ref13
ref35
ref12
ref15
ref37
ref14
ref36
ref11
ref33
ref10
ref32
ref2
ref1
ref17
ref39
ref16
Ma (ref21) 2003; 24
ref38
ref19
ref18
Zhang (ref22) 2007; 22
Li (ref30) 2009; 30
ref24
ref46
ref23
ref45
ref26
ref25
ref47
ref42
Shao (ref29) 2007; 35
ref41
Wu (ref31) 2010; 22
ref44
Arnold (ref20) 1967
ref43
(ref34) 2022
ref28
ref27
ref8
ref7
ref9
ref4
ref3
ref6
ref5
ref40
References_xml – ident: ref36
  doi: 10.1007/s11128-019-2386-3
– ident: ref47
  doi: 10.1016/j.sigpro.2018.09.029
– ident: ref23
  doi: 10.1007/s11042-020-09828-z
– ident: ref16
  doi: 10.1007/s11042-021-11796-x
– ident: ref45
  doi: 10.1016/j.sigpro.2011.11.004
– ident: ref4
  doi: 10.1109/TMM.2016.2569497
– ident: ref15
  doi: 10.36909/jer.v9i3A.10111
– ident: ref26
  doi: 10.1016/j.optcom.2012.07.033
– ident: ref9
  doi: 10.1016/j.jksuci.2020.07.008
– volume: 22
  start-page: 1831
  issue: 10
  year: 2010
  ident: ref31
  article-title: 3-Dimensional nonequilateral arnold transformation and its application in image scrambling
  publication-title: J. Comput.-Aided Des. Comput. Graph.
– ident: ref17
  doi: 10.1080/0161-118991863745
– ident: ref19
  doi: 10.1016/j.sigpro.2017.10.004
– ident: ref28
  doi: 10.1016/j.optlaseng.2020.106139
– ident: ref7
  doi: 10.1109/TMM.2020.3011315
– ident: ref43
  doi: 10.1016/j.ins.2012.07.049
– ident: ref3
  doi: 10.1109/TII.2019.2913217
– ident: ref40
  doi: 10.1049/iet-ipr.2018.5654
– ident: ref10
  doi: 10.1007/s11042-022-12062-4
– ident: ref39
  doi: 10.1007/s11071-018-4390-z
– ident: ref14
  doi: 10.1007/s11042-021-11051-3
– ident: ref6
  doi: 10.1007/s13369-021-05529-3
– ident: ref35
  doi: 10.1049/iet-ipr.2016.0552
– ident: ref25
  doi: 10.1016/j.sigpro.2019.107286
– ident: ref5
  doi: 10.1007/s13369-020-04413-w
– ident: ref41
  doi: 10.1016/j.chaos.2021.111334
– ident: ref44
  doi: 10.1049/iet-ipr.2019.0551
– ident: ref1
  doi: 10.1109/TII.2018.2852491
– ident: ref13
  doi: 10.1109/TII.2018.2791944
– ident: ref27
  doi: 10.1007/s11128-018-2104-6
– ident: ref33
  doi: 10.1109/TII.2020.3014158
– ident: ref38
  doi: 10.1109/ACCESS.2019.2958319
– ident: ref46
  doi: 10.1049/iet-ipr.2019.0168
– ident: ref12
  doi: 10.1007/s11042-022-13015-7
– ident: ref32
  doi: 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2
– volume: 24
  start-page: 51
  issue: 2
  year: 2003
  ident: ref21
  article-title: An image cryptosystem based on general cat map
  publication-title: J. Commun.
– volume: 35
  start-page: 1290
  issue: 7
  year: 2007
  ident: ref29
  article-title: 2-dimension non equilateral image scrambling transformation
  publication-title: Acta Electronica Sinica
– volume: 30
  start-page: 3133
  issue: 13
  year: 2009
  ident: ref30
  article-title: 2-D arnold transformation and nonequilateral image scrambling transformation
  publication-title: Comput. Eng. Des.
– volume: 22
  start-page: 292
  issue: 3
  year: 2007
  ident: ref22
  article-title: 3-D chaotic cat map based digital image encryption method
  publication-title: J. Data Acquisition Process.
– volume-title: Problems Ergodiques De La Meanique Classique
  year: 1967
  ident: ref20
– ident: ref24
  doi: 10.1142/S0218127410026563
– ident: ref42
  doi: 10.1016/j.chaos.2021.111402
– ident: ref8
  doi: 10.1007/s11042-020-09513-1
– year: 2022
  ident: ref34
  article-title: Industrial image database
– ident: ref37
  doi: 10.1117/1.jei.31.1.013031
– ident: ref11
  doi: 10.1049/cit2.12053
– ident: ref2
  doi: 10.1109/TII.2018.2832853
– ident: ref18
  doi: 10.1142/S021812749800098X
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Snippet In the era of Industrial Internet of Things (IIoT), huge amounts of data are generated, which contains sensitive information. Therefore, how to protect data...
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SubjectTerms Algorithms
Color imagery
Cybersecurity
Encryption
Industrial applications
Industrial Internet of Things
Lorenz system
Pixels
Sequences
Title Duple Color Image Encryption System Based on 3-D Nonequilateral Arnold Transform for IIoT
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