Optimal ferrers diagram rank-metric codes

http://arxiv-export3.library.cornell.edu/abs/1405.1885v1 Weband Wachter-Zeh [4] investigated systematically Ferrers diagram rank-metric codes and established four constructions to obtain optimal codes. This paper continues the work in [4].

Optimal Ferrers Diagram Rank-Metric Codes IEEE …

WebFerrers diagram rank metric $ d_S(U,W) $ subspace distance between codewords $ U $ and $ W $ $ d_S( \mathcal{C}) $ ... S. Liu, Y. Chang and T. Feng, Constructions for optimal Ferrers diagram rank-metric codes, IEEE Transactions on Information Theory, 65 (2024), 4115-4130. doi: 10.1109/TIT.2024 ... Web{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 3583232}, {"parameter": "", "name": "heinlein_ihringer_semidefinite_programming", "value ... how many babies do cory catfish have https://bogaardelectronicservices.com

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WebMay 8, 2014 · Optimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good codes in the projective space. First, we consider rank-metric anticodes and prove a code-anticode bound for Ferrers diagram rank-metric codes. WebOptimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good … WebOptimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good codes in the projective space. First, we consider rank-metric anticodes and prove a code–anticode bound for Ferrers diagram rank-metric codes. high pines outfitters

Constructions of optimal Ferrers diagram rank metric codes

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Optimal ferrers diagram rank-metric codes

[1405.1885v1] Optimal Ferrers Diagram Rank-Metric Codes

WebJan 1, 2024 · Rank metric codes in Ferrers diagrams can be used to construct good subspace codes and constant dimension codes. In this paper, three constructions of … WebThe Ferrers diagram rank metric code is a set of matrices having nonzero entries only at positionswheretheFerrersdiagramhasdotsandequippedwiththerankdistancemetric.For agivenm×nFerrers diagramF, the triple [F,k,δ]R qdenotes a linear Ferrers diagram rank metric code in Fq[F]with minimum rank distanceδand dimensionk.

Optimal ferrers diagram rank-metric codes

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WebJan 28, 2016 · Abstract: Optimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good codes in the projective space. First, we consider rank-metric anticodes … WebMay 8, 2014 · Optimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct …

WebNov 15, 2024 · Four constructions for Ferrers diagram rank-metric (FDRM) codes are presented. The first one makes use of a characterization on generator matrices of a class … WebApr 3, 2024 · Optimal rank-metric codes in Ferrers diagrams can be used to construct good subspace codes. Such codes consist of matrices having zeros at certain fixed positions. …

WebSep 4, 2024 · Five constructions for Ferrers diagram rank-metric (FDRM) codes are presented. The first one makes use of a characterization on generator matrices of a class of systematic maximum rank... WebDec 30, 2024 · Lifted MRD codes are one type of building blocks for the echelon-Ferrers construction [ 5 ]. In order to generalize the lifted MRD codes construction, a new family of Ferrers diagram rank-metric codes was presented, and …

WebNov 15, 2024 · Four constructions for Ferrers diagram rank-metric (FDRM) codes are presented. The first one makes use of a characterization on of a class of systematic …

WebAbstract: Optimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct … how many babies do chameleons have at a timeWebOptimal rank-metric codes in Ferrers diagrams are considered. Such codes consist of matrices having zeros at certain fixed positions and can be used to construct good codes … high pines miami real estateWebThe existence of optimal Ferrers diagram rank-metric code has been proven for various pairs [F,d].(see [1, 19, 20, 27]). The following Lemma is a criterion for check the existence of optimal Ferrers diagram rank-metric code. Lemma 2.8 [7, 8] Let F be a k × n(k≥ n) Ferrers diagram and each of the rightmost d − 1 columns of F has at least k ... how many babies do chipmunks haveWebProblem 1 (Optimal Ferrers Diagram Rank-Metric Codes) Let Fbe an m nFerrers diagram, q 2 be a prime power, and be a positive integer, where n m. Does there exist an [F;k; ]R q rank-metric code C which attains the upper bound from Theorem 1? We want to find general code constructions, which provide optimal Ferrers diagram rank-metric codes for ... how many babies do crayfish haveWebAbstract. In this paper, we survey the main known constructions of Ferrers diagram rank-metric codes, and establish new results on a related conjecture by Etzion and Silberstein. We also give a sharp lower bound on the dimension of linear rank-metric anticodes with a given profile. Combining our results with the multilevel construction, we ... high pines residential home herne bayhigh pines roofingWebThe Ferrers diagram rank metric code is a set of matrices having nonzero entries only at positionswheretheFerrersdiagramhasdotsandequippedwiththerankdistancemetric.For … how many babies do dogs have