Rank subcodes in multicomponent network coding

Gabidulin, E.M.; Pilipchuk, Nina I.

doi:10.1134/s0032946013010043

Cited by 20 publications

(16 citation statements)

References 11 publications

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“…This approach has led to the area of subspace codes and specifically to intensive research efforts on constructions of subspace codes with large subspace distance [23,21,25,10,14,9,16,12,15,11,24,29,17]. Most of the research focuses on constant-dimension codes (CDC's), that is, codes where all subspaces have the same dimension.…”

Section: Introductionmentioning

confidence: 99%

Construction of subspace codes through linkage

Gluesing-Luerssen¹,

Troha²

2016

AMC

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A construction is presented that allows to produce subspace codes of long length using subspace codes of shorter length in combination with a rank metric code. The subspace distance of the resulting code, called linkage code, is as good as the minimum subspace distance of the constituent codes. As a special application, the construction of the best known partial spreads is reproduced. Finally, for a special case of linkage, a decoding algorithm is presented which amounts to decoding with respect to the smaller constituent codes and which can be parallelized.

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Section: Introductionmentioning

confidence: 99%

Construction of subspace codes through linkage

Gluesing-Luerssen¹,

Troha²

2016

AMC

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“…A greedy-type approach has been considered by Alexander Shishkin, see [14,1]. In [8,7] the authors considered block designs as skeleton codes. The most effective general recursive construction is the linkage construction and its generalization, see subsection 3.2.…”

Section: Previous Known Resultsmentioning

confidence: 99%

Construction of Const Dimension Code from Two Parallel Versions of Linkage Construction

2019

Preprint

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“…The construction was described in [4] by means of q-cyclic MRD codes, but it can also be interpreted using systematic shortened MRD codes, see also [8], [12].…”

Section: Known Results and Problem Statementmentioning

confidence: 99%