Inference of unknown syndrome values in the implementation of the Berlekamp-Massey-Sakata algorithm
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866909795803463680 |
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| author | Bernal, J. J. Simón, J. J. |
| author_facet | Bernal, J. J. Simón, J. J. |
| contents | We study the problem of finding those missing syndrome values that are needed to implment the Berlekamp-Massey-Sakata algorithm as the Feng-Rao Majority Voting for algebraic geometric codes. We apply our results to solve syndrome correction in abelian codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_14835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inference of unknown syndrome values in the implementation of the Berlekamp-Massey-Sakata algorithm Bernal, J. J. Simón, J. J. Information Theory We study the problem of finding those missing syndrome values that are needed to implment the Berlekamp-Massey-Sakata algorithm as the Feng-Rao Majority Voting for algebraic geometric codes. We apply our results to solve syndrome correction in abelian codes. |
| title | Inference of unknown syndrome values in the implementation of the Berlekamp-Massey-Sakata algorithm |
| topic | Information Theory |
| url | https://arxiv.org/abs/2509.14835 |