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In coding theory, rank codes (also called Gabidulin codes) are non-binary linear error-correcting codes over not Hamming but rank metric. They described a systematic way of building codes that could detect and correct multiple random rank errors. By adding redundancy with coding k-symbol word to a n-symbol word, a rank code can correct any errors of rank…
Applications, Rank metric & Overview
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rank displaystyle code gf codes distance linear vector metric gabidulin coding correct errors also left right dots theory called field
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Rank error-correcting code | Alphabet size | Q = qN (q prime) | 1.00 | infobox |
| Rank error-correcting code | Block length | n | 1.00 | infobox |
| Rank error-correcting code | Distance | n − k + 1 | 1.00 | infobox |
| Rank error-correcting code | Hierarchy | Linear block code Rank code | 1.00 | infobox |
| Rank error-correcting code | Message length | k | 1.00 | infobox |
| Rank error-correcting code | Notation | [n, k, d]-code | 1.00 | infobox |
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