Augmented LT codes over binary extension fields with increased ratio of full‐degree columns
Abstract This letter proposes an augmented scheme of LT codes to improve the decoding success rate. The method involves substituting the 1‐s in full‐degree columns of the generator matrix of conventional LT codes with binary extension field elements and simultaneously increasing the ratio of full‐de...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-03-01
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| Series: | Electronics Letters |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/ell2.13110 |
| _version_ | 1797272623184347136 |
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| author | Changyue Jiang Jingsong Cui Jiawei Li Chi Guo |
| author_facet | Changyue Jiang Jingsong Cui Jiawei Li Chi Guo |
| author_sort | Changyue Jiang |
| collection | DOAJ |
| description | Abstract This letter proposes an augmented scheme of LT codes to improve the decoding success rate. The method involves substituting the 1‐s in full‐degree columns of the generator matrix of conventional LT codes with binary extension field elements and simultaneously increasing the ratio of full‐degree columns in the ideal soliton distribution. For non‐full‐degree columns, we retain the nonzero elements as 1‐s in the conventional LT codes generator matrix to preserve computational efficiency. Compared to conventional LT codes, the proposed method enhances the linear independence of the generator matrix, leading to a higher decoding success rate with minimal data packets. Experimental results demonstrate the effectiveness of the method at improving the performance of LT codes, with close to 100% decoding success rate achieved with around 5% data redundancy. |
| first_indexed | 2024-03-07T14:32:00Z |
| format | Article |
| id | doaj.art-6a27bf12d4354c4799a1942382111092 |
| institution | Directory Open Access Journal |
| issn | 0013-5194 1350-911X |
| language | English |
| last_indexed | 2024-03-07T14:32:00Z |
| publishDate | 2024-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | Electronics Letters |
| spelling | doaj.art-6a27bf12d4354c4799a19423821110922024-03-06T04:11:14ZengWileyElectronics Letters0013-51941350-911X2024-03-01605n/an/a10.1049/ell2.13110Augmented LT codes over binary extension fields with increased ratio of full‐degree columnsChangyue Jiang0Jingsong Cui1Jiawei Li2Chi Guo3Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering Wuhan University Wuhan ChinaKey Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering Wuhan University Wuhan ChinaKey Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering Wuhan University Wuhan ChinaResearch Center of GNSS Wuhan University Wuhan ChinaAbstract This letter proposes an augmented scheme of LT codes to improve the decoding success rate. The method involves substituting the 1‐s in full‐degree columns of the generator matrix of conventional LT codes with binary extension field elements and simultaneously increasing the ratio of full‐degree columns in the ideal soliton distribution. For non‐full‐degree columns, we retain the nonzero elements as 1‐s in the conventional LT codes generator matrix to preserve computational efficiency. Compared to conventional LT codes, the proposed method enhances the linear independence of the generator matrix, leading to a higher decoding success rate with minimal data packets. Experimental results demonstrate the effectiveness of the method at improving the performance of LT codes, with close to 100% decoding success rate achieved with around 5% data redundancy.https://doi.org/10.1049/ell2.13110algebraic codesbinary codescodecscodesdecode and forward communicationdecoding |
| spellingShingle | Changyue Jiang Jingsong Cui Jiawei Li Chi Guo Augmented LT codes over binary extension fields with increased ratio of full‐degree columns Electronics Letters algebraic codes binary codes codecs codes decode and forward communication decoding |
| title | Augmented LT codes over binary extension fields with increased ratio of full‐degree columns |
| title_full | Augmented LT codes over binary extension fields with increased ratio of full‐degree columns |
| title_fullStr | Augmented LT codes over binary extension fields with increased ratio of full‐degree columns |
| title_full_unstemmed | Augmented LT codes over binary extension fields with increased ratio of full‐degree columns |
| title_short | Augmented LT codes over binary extension fields with increased ratio of full‐degree columns |
| title_sort | augmented lt codes over binary extension fields with increased ratio of full degree columns |
| topic | algebraic codes binary codes codecs codes decode and forward communication decoding |
| url | https://doi.org/10.1049/ell2.13110 |
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