Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem
A new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference is proposed. We observe the bifurcation behaviors and draw the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits of the proposed map,...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/4585083 |
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| _version_ | 1849307658921705472 |
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| author | Zeyu Liu Tiecheng Xia Jinbo Wang |
| author_facet | Zeyu Liu Tiecheng Xia Jinbo Wang |
| author_sort | Zeyu Liu |
| collection | DOAJ |
| description | A new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference is proposed. We observe the bifurcation behaviors and draw the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits of the proposed map, respectively. On the application side, we apply the proposed discrete fractional map into image encryption with the secret keys ciphered by Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC). Finally, the image encryption algorithm is analysed in four main aspects that indicate the proposed algorithm is better than others. |
| format | Article |
| id | doaj-art-215f30eff03b4fed8c5c324bc3caf7d6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-215f30eff03b4fed8c5c324bc3caf7d62025-08-20T03:54:42ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/45850834585083Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve CryptosystemZeyu Liu0Tiecheng Xia1Jinbo Wang2Department of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaScience and Technology on Communication Security Laboratory, Chengdu, Sichuan 610041, ChinaA new fractional two-dimensional triangle function combination discrete chaotic map (2D-TFCDM) with the discrete fractional difference is proposed. We observe the bifurcation behaviors and draw the bifurcation diagrams, the largest Lyapunov exponent plot, and the phase portraits of the proposed map, respectively. On the application side, we apply the proposed discrete fractional map into image encryption with the secret keys ciphered by Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC). Finally, the image encryption algorithm is analysed in four main aspects that indicate the proposed algorithm is better than others.http://dx.doi.org/10.1155/2018/4585083 |
| spellingShingle | Zeyu Liu Tiecheng Xia Jinbo Wang Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem Discrete Dynamics in Nature and Society |
| title | Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem |
| title_full | Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem |
| title_fullStr | Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem |
| title_full_unstemmed | Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem |
| title_short | Image Encryption Technology Based on Fractional Two-Dimensional Triangle Function Combination Discrete Chaotic Map Coupled with Menezes-Vanstone Elliptic Curve Cryptosystem |
| title_sort | image encryption technology based on fractional two dimensional triangle function combination discrete chaotic map coupled with menezes vanstone elliptic curve cryptosystem |
| url | http://dx.doi.org/10.1155/2018/4585083 |
| work_keys_str_mv | AT zeyuliu imageencryptiontechnologybasedonfractionaltwodimensionaltrianglefunctioncombinationdiscretechaoticmapcoupledwithmenezesvanstoneellipticcurvecryptosystem AT tiechengxia imageencryptiontechnologybasedonfractionaltwodimensionaltrianglefunctioncombinationdiscretechaoticmapcoupledwithmenezesvanstoneellipticcurvecryptosystem AT jinbowang imageencryptiontechnologybasedonfractionaltwodimensionaltrianglefunctioncombinationdiscretechaoticmapcoupledwithmenezesvanstoneellipticcurvecryptosystem |