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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2402.01403 |
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| _version_ | 1866914664384823296 |
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| author | Zumbrägel, Jens |
| author_facet | Zumbrägel, Jens |
| contents | The analysis of the decoding failure rate of the bit-flipping algorithm has received increasing attention. For a binary linear code we consider the minimum number of rows in a parity-check matrix such that the bit-flipping algorithm is able to correct errors up to the minimum distance without any decoding failures. We initiate a study of this bit-flipping redundancy, which is akin to the stopping set, trapping set or pseudocodeword redundancy of binary linear codes, and focus in particular on codes based on finite geometries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01403 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudoredundancy for the Bit-Flipping Algorithm Zumbrägel, Jens Information Theory The analysis of the decoding failure rate of the bit-flipping algorithm has received increasing attention. For a binary linear code we consider the minimum number of rows in a parity-check matrix such that the bit-flipping algorithm is able to correct errors up to the minimum distance without any decoding failures. We initiate a study of this bit-flipping redundancy, which is akin to the stopping set, trapping set or pseudocodeword redundancy of binary linear codes, and focus in particular on codes based on finite geometries. |
| title | Pseudoredundancy for the Bit-Flipping Algorithm |
| topic | Information Theory |
| url | https://arxiv.org/abs/2402.01403 |