A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation
A symmetric block cipher employing a substitution–permutation duo is an effective technique for the provision of information security. For substitution, modern block ciphers use one or more substitution boxes (S-Boxes). Certain criteria and design principles are fulfilled and followed for...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/21/3/245 |
| _version_ | 1811305490767937536 |
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| author | Amjad Hussain Zahid Muhammad Junaid Arshad Musheer Ahmad |
| author_facet | Amjad Hussain Zahid Muhammad Junaid Arshad Musheer Ahmad |
| author_sort | Amjad Hussain Zahid |
| collection | DOAJ |
| description | A symmetric block cipher employing a substitution–permutation duo is an effective technique for the provision of information security. For substitution, modern block ciphers use one or more substitution boxes (S-Boxes). Certain criteria and design principles are fulfilled and followed for the construction of a good S-Box. In this paper, an innovative technique to construct substitution-boxes using our cubic fractional transformation (CFT) is presented. The cryptographic strength of the proposed S-box is critically evaluated against the state of the art performance criteria of strong S-boxes, including bijection, nonlinearity, bit independence criterion, strict avalanche effect, and linear and differential approximation probabilities. The performance results of the proposed S-Box are compared with recently investigated S-Boxes to prove its cryptographic strength. The simulation and comparison analyses validate that the proposed S-Box construction method has adequate efficacy to generate efficient candidate S-Boxes for usage in block ciphers. |
| first_indexed | 2024-04-13T08:25:59Z |
| format | Article |
| id | doaj.art-eaba691e215d4e3ab7739ecbee59ad5f |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T08:25:59Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-eaba691e215d4e3ab7739ecbee59ad5f2022-12-22T02:54:28ZengMDPI AGEntropy1099-43002019-03-0121324510.3390/e21030245e21030245A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional TransformationAmjad Hussain Zahid0Muhammad Junaid Arshad1Musheer Ahmad2Department of Computer Science, University of Management and Technology, Lahore 54000, PakistanDepartment of Computer Science, University of Engineering and Technology, Lahore 54000, PakistanDepartment of Computer Engineering, Jamia Millia Islamia, New Delhi 110025, IndiaA symmetric block cipher employing a substitution–permutation duo is an effective technique for the provision of information security. For substitution, modern block ciphers use one or more substitution boxes (S-Boxes). Certain criteria and design principles are fulfilled and followed for the construction of a good S-Box. In this paper, an innovative technique to construct substitution-boxes using our cubic fractional transformation (CFT) is presented. The cryptographic strength of the proposed S-box is critically evaluated against the state of the art performance criteria of strong S-boxes, including bijection, nonlinearity, bit independence criterion, strict avalanche effect, and linear and differential approximation probabilities. The performance results of the proposed S-Box are compared with recently investigated S-Boxes to prove its cryptographic strength. The simulation and comparison analyses validate that the proposed S-Box construction method has adequate efficacy to generate efficient candidate S-Boxes for usage in block ciphers.http://www.mdpi.com/1099-4300/21/3/245substitution boxcubic fractional transformationblock cipherssecurity |
| spellingShingle | Amjad Hussain Zahid Muhammad Junaid Arshad Musheer Ahmad A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation Entropy substitution box cubic fractional transformation block ciphers security |
| title | A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation |
| title_full | A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation |
| title_fullStr | A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation |
| title_full_unstemmed | A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation |
| title_short | A Novel Construction of Efficient Substitution-Boxes Using Cubic Fractional Transformation |
| title_sort | novel construction of efficient substitution boxes using cubic fractional transformation |
| topic | substitution box cubic fractional transformation block ciphers security |
| url | http://www.mdpi.com/1099-4300/21/3/245 |
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