Construction of an S-Box Based on Chaotic and Bent Functions
An S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed. The output of an S-box can be regarded as a group of Boolean functions. Ther...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-04-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/13/4/671 |
| _version_ | 1797537866101817344 |
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| author | Zijing Jiang Qun Ding |
| author_facet | Zijing Jiang Qun Ding |
| author_sort | Zijing Jiang |
| collection | DOAJ |
| description | An S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed. The output of an S-box can be regarded as a group of Boolean functions. Therefore, we can use the different properties of chaos and Bent functions to generate a random Bent function with a high nonlinearity. By constructing a set of Bent functions as the output of an S-box, we can create an S-box with good cryptological properties. The nonlinearity, differential uniformity, strict avalanche criterion and the independence criterion of output bits are then analyzed and tested. A security analysis shows that the proposed S-box has excellent cryptographic properties. |
| first_indexed | 2024-03-10T12:22:21Z |
| format | Article |
| id | doaj.art-946173ccfea04684bc27f24dd3f5f025 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T12:22:21Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-946173ccfea04684bc27f24dd3f5f0252023-11-21T15:24:16ZengMDPI AGSymmetry2073-89942021-04-0113467110.3390/sym13040671Construction of an S-Box Based on Chaotic and Bent FunctionsZijing Jiang0Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaAn S-box is the most important part of a symmetric encryption algorithm. Various schemes are put forward by using chaos theory. In this paper, a construction method of S-boxes with good cryptographic properties is proposed. The output of an S-box can be regarded as a group of Boolean functions. Therefore, we can use the different properties of chaos and Bent functions to generate a random Bent function with a high nonlinearity. By constructing a set of Bent functions as the output of an S-box, we can create an S-box with good cryptological properties. The nonlinearity, differential uniformity, strict avalanche criterion and the independence criterion of output bits are then analyzed and tested. A security analysis shows that the proposed S-box has excellent cryptographic properties.https://www.mdpi.com/2073-8994/13/4/671Bent functionchaosnonlinearityS-box |
| spellingShingle | Zijing Jiang Qun Ding Construction of an S-Box Based on Chaotic and Bent Functions Symmetry Bent function chaos nonlinearity S-box |
| title | Construction of an S-Box Based on Chaotic and Bent Functions |
| title_full | Construction of an S-Box Based on Chaotic and Bent Functions |
| title_fullStr | Construction of an S-Box Based on Chaotic and Bent Functions |
| title_full_unstemmed | Construction of an S-Box Based on Chaotic and Bent Functions |
| title_short | Construction of an S-Box Based on Chaotic and Bent Functions |
| title_sort | construction of an s box based on chaotic and bent functions |
| topic | Bent function chaos nonlinearity S-box |
| url | https://www.mdpi.com/2073-8994/13/4/671 |
| work_keys_str_mv | AT zijingjiang constructionofansboxbasedonchaoticandbentfunctions AT qunding constructionofansboxbasedonchaoticandbentfunctions |