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.
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Non-officer rank code criteria · OR-1 — OR-3: "These are the basic entry ranks into the military structure." · OR-4: "The first level of leadership within the ...
Army ranks provide a system of leadership that indicates a Soldier's level of expertise, responsibility and authority inside that profession.
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In matrix representation, rank codes are defined as subsets of a normed space of N ×n matrices over a finite (base) field , where the norm of a matrix is ...
The matrix codes are considered in the rank metric that is defined as follows. The distance between two matrices is the rank of their difference. The code ...
We construct rank-metric codes with locality constraints under the rank-metric. Our motivation stems from designing codes for efficient data recovery from ...
Jun 25, 2020 · Abstract:This paper extends the study of rank-metric codes in extension fields \mathbb{L} equipped with an arbitrary Galois group G ...