Improved decoding of symmetric rank metric errors
We consider the decoding of rank metric codes assuming the error matrix is symmetric. We prove two results. First, for rates < 1/2 there exists a broad family of rank metric codes for which any symmetric error pattern, even of maximal rank can be corrected. Moreover, the corresponding family of d...
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Published in | 2023 IEEE Information Theory Workshop (ITW) pp. 238 - 242 |
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Main Author | |
Format | Conference Proceeding |
Language | English |
Published |
IEEE
23.04.2023
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Subjects | |
Online Access | Get full text |
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Summary: | We consider the decoding of rank metric codes assuming the error matrix is symmetric. We prove two results. First, for rates < 1/2 there exists a broad family of rank metric codes for which any symmetric error pattern, even of maximal rank can be corrected. Moreover, the corresponding family of decodable codes includes Gabidulin codes of rate < 1/2. Second, for rates > 1/2, we propose a decoder for Gabidulin codes correcting symmetric errors of rank up to n - k. The two mentioned decoders are deterministic and worst case. |
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ISSN: | 2475-4218 |
DOI: | 10.1109/ITW55543.2023.10161649 |