Improved Decoding Algorithms for MDS and Almost-MDS Codesfrom Twisted GRS Codes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912742135300096 |
|---|---|
| author | Wang, Guodong Liu, Hongwei Luo, Jinquan |
| author_facet | Wang, Guodong Liu, Hongwei Luo, Jinquan |
| contents | In this paper, firstly, we study decoding of a general class of twisted generalized Reed-Solomon (TGRS) codes and provide a precise characterization of the key equation for TGRS codes and propose a decoding algorithm. Secondly, we further study decoding of almost-MDS TGRS codes and provide a decoding algorithm. These two decoding algorithms are more efficient in terms of performance compared with the decoding algorithms presented in [Sun et al., IEEE-TIT, 2024] and [Sui et al., IEEE-TIT, 2023] respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00766 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Improved Decoding Algorithms for MDS and Almost-MDS Codesfrom Twisted GRS Codes Wang, Guodong Liu, Hongwei Luo, Jinquan Information Theory 94B05, 94B35 In this paper, firstly, we study decoding of a general class of twisted generalized Reed-Solomon (TGRS) codes and provide a precise characterization of the key equation for TGRS codes and propose a decoding algorithm. Secondly, we further study decoding of almost-MDS TGRS codes and provide a decoding algorithm. These two decoding algorithms are more efficient in terms of performance compared with the decoding algorithms presented in [Sun et al., IEEE-TIT, 2024] and [Sui et al., IEEE-TIT, 2023] respectively. |
| title | Improved Decoding Algorithms for MDS and Almost-MDS Codesfrom Twisted GRS Codes |
| topic | Information Theory 94B05, 94B35 |
| url | https://arxiv.org/abs/2511.00766 |