A digital audio data protection method using parametric action of generalised triangle group on GF(28)
The parametrization of the action of the modular group PSL(2,Z) for the triangle groups is extended for Δ(2,3,k) to the finite generalised triangle groups 〈u,v|u2=v3=wk=1〉 where w=uvuvuv2uvuv2. Also, based on the resulting parametric equations, the authors have presented an audio encryption approach...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-01-01
|
| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447924005744 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841526259344998400 |
|---|---|
| author | Aqsa Zafar Abbasi Ayesha Rafiq Badr M. Alshammari |
| author_facet | Aqsa Zafar Abbasi Ayesha Rafiq Badr M. Alshammari |
| author_sort | Aqsa Zafar Abbasi |
| collection | DOAJ |
| description | The parametrization of the action of the modular group PSL(2,Z) for the triangle groups is extended for Δ(2,3,k) to the finite generalised triangle groups 〈u,v|u2=v3=wk=1〉 where w=uvuvuv2uvuv2. Also, based on the resulting parametric equations, the authors have presented an audio encryption approach in this study. The extremely secure S-Box, which is then utilised to encrypt audio signals, is built using parametric equations. Utilising several audio sources, the effectiveness of the current approach is assessed. According to the simulation specially differential analysis average NSCR 99.96% and average UACI 33.33% as well as comparison results, the recommended method might prevent cryptographic vulnerabilities and produce reliable encryption results. |
| format | Article |
| id | doaj-art-368f64b8cf5c48d581dc46e55bb3840d |
| institution | Kabale University |
| issn | 2090-4479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj-art-368f64b8cf5c48d581dc46e55bb3840d2025-01-17T04:49:21ZengElsevierAin Shams Engineering Journal2090-44792025-01-01161103193A digital audio data protection method using parametric action of generalised triangle group on GF(28)Aqsa Zafar Abbasi0Ayesha Rafiq1Badr M. Alshammari2Department of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, Islamabad, 44000, PakistanDepartment of Electrical Engineering, College of Engineering, University of Ha'il, Ha'il, 81451, Saudi Arabia; Corresponding author.The parametrization of the action of the modular group PSL(2,Z) for the triangle groups is extended for Δ(2,3,k) to the finite generalised triangle groups 〈u,v|u2=v3=wk=1〉 where w=uvuvuv2uvuv2. Also, based on the resulting parametric equations, the authors have presented an audio encryption approach in this study. The extremely secure S-Box, which is then utilised to encrypt audio signals, is built using parametric equations. Utilising several audio sources, the effectiveness of the current approach is assessed. According to the simulation specially differential analysis average NSCR 99.96% and average UACI 33.33% as well as comparison results, the recommended method might prevent cryptographic vulnerabilities and produce reliable encryption results.http://www.sciencedirect.com/science/article/pii/S2090447924005744Algebraic structure based S-BoxAudio encryptionBlock cipherGeneralised triangle group |
| spellingShingle | Aqsa Zafar Abbasi Ayesha Rafiq Badr M. Alshammari A digital audio data protection method using parametric action of generalised triangle group on GF(28) Ain Shams Engineering Journal Algebraic structure based S-Box Audio encryption Block cipher Generalised triangle group |
| title | A digital audio data protection method using parametric action of generalised triangle group on GF(28) |
| title_full | A digital audio data protection method using parametric action of generalised triangle group on GF(28) |
| title_fullStr | A digital audio data protection method using parametric action of generalised triangle group on GF(28) |
| title_full_unstemmed | A digital audio data protection method using parametric action of generalised triangle group on GF(28) |
| title_short | A digital audio data protection method using parametric action of generalised triangle group on GF(28) |
| title_sort | digital audio data protection method using parametric action of generalised triangle group on gf 28 |
| topic | Algebraic structure based S-Box Audio encryption Block cipher Generalised triangle group |
| url | http://www.sciencedirect.com/science/article/pii/S2090447924005744 |
| work_keys_str_mv | AT aqsazafarabbasi adigitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 AT ayesharafiq adigitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 AT badrmalshammari adigitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 AT aqsazafarabbasi digitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 AT ayesharafiq digitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 AT badrmalshammari digitalaudiodataprotectionmethodusingparametricactionofgeneralisedtrianglegroupongf28 |