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Rank error-correcting code

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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1 related topics

Rank metric

3 related topics

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Key facts & relationships

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Alphabet size
Q = qN (q prime)
Block length
n
Distance
n − k + 1
Hierarchy
Linear block code Rank code
Message length
k
Notation
[n, k, d]-code

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Overview

Rank metric

Applications

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Rank error-correcting code

Nodes15
Edges14
Triples6
Avg. degree1.87
Density0.133333
Components1

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Rank error-correcting code

Top relations

Alphabet size · 1
Rank error-correcting code → Q = qN (q prime)
Block length · 1
Rank error-correcting code → n
Distance · 1
Rank error-correcting code → n − k + 1
Hierarchy · 1
Rank error-correcting code → Linear block code Rank code
Message length · 1
Rank error-correcting code → k
Notation · 1
Rank error-correcting code → [n, k, d]-code

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Important terminology

rank displaystyle code gf codes distance linear vector metric gabidulin coding correct errors also left right dots theory called field

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Rank error-correcting codeAlphabet sizeQ = qN (q prime)1.00infobox
Rank error-correcting codeBlock lengthn1.00infobox
Rank error-correcting codeDistancen − k + 11.00infobox
Rank error-correcting codeHierarchyLinear block code Rank code1.00infobox
Rank error-correcting codeMessage lengthk1.00infobox
Rank error-correcting codeNotation[n, k, d]-code1.00infobox

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