An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping
In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective func...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-03-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/3/437 |
| _version_ | 1798005612402966528 |
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| author | Amjad Hussain Zahid Muhammad Junaid Arshad |
| author_facet | Amjad Hussain Zahid Muhammad Junaid Arshad |
| author_sort | Amjad Hussain Zahid |
| collection | DOAJ |
| description | In this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes. |
| first_indexed | 2024-04-11T12:42:00Z |
| format | Article |
| id | doaj.art-68e91756fb644276ba57dbf7c61d402c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T12:42:00Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-68e91756fb644276ba57dbf7c61d402c2022-12-22T04:23:27ZengMDPI AGSymmetry2073-89942019-03-0111343710.3390/sym11030437sym11030437An Innovative Design of Substitution-Boxes Using Cubic Polynomial MappingAmjad Hussain Zahid0Muhammad Junaid Arshad1Department of Computer Science, University of Engineering and Technology, Lahore 54000, PakistanDepartment of Computer Science, University of Engineering and Technology, Lahore 54000, PakistanIn this paper, we propose to present a novel technique for designing cryptographically strong substitution-boxes using cubic polynomial mapping. The proposed cubic polynomial mapping is proficient to map the input sequence to a strong 8 × 8 S-box meeting the requirements of a bijective function. The use of cubic polynomial maintains the simplicity of S-box construction method and found consistent when compared with other existing S-box techniques used to construct S-boxes. An example proposed S-box is obtained which is analytically evaluated using standard performance criteria including nonlinearity, bijection, bit independence, strict avalanche effect, linear approximation probability, and differential uniformity. The performance results are equated with some recently scrutinized S-boxes to ascertain its cryptographic forte. The critical analyses endorse that the proposed S-box construction technique is considerably innovative and effective to generate cryptographic strong substitution-boxes.https://www.mdpi.com/2073-8994/11/3/437substitution boxcubic polynomial mappingblock cipherssecurity |
| spellingShingle | Amjad Hussain Zahid Muhammad Junaid Arshad An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping Symmetry substitution box cubic polynomial mapping block ciphers security |
| title | An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping |
| title_full | An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping |
| title_fullStr | An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping |
| title_full_unstemmed | An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping |
| title_short | An Innovative Design of Substitution-Boxes Using Cubic Polynomial Mapping |
| title_sort | innovative design of substitution boxes using cubic polynomial mapping |
| topic | substitution box cubic polynomial mapping block ciphers security |
| url | https://www.mdpi.com/2073-8994/11/3/437 |
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