Optimal ferrers diagram rank-metric codes

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 … WebThe Ferrers diagram rank metric code is a set of matrices having nonzero entries only at positionswheretheFerrersdiagramhasdotsandequippedwiththerankdistancemetric.For …

Several classes of optimal Ferrers diagram rank-metric …

WebAbstract. 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 ... 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. how group by clause works https://jshefferlaw.com

[1405.1885v1] Optimal Ferrers Diagram Rank-Metric Codes

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 … 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. 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 … highest points crossword clue

Constructions for Optimal Ferrers Diagram Rank-Metric …

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Optimal ferrers diagram rank-metric codes

Several classes of optimal Ferrers diagram rank-metric codes

WebMay 8, 2014 · Optimal Ferrers Diagram Rank-Metric Codes Antonia Wachter-Zeh, Tuvi Etzion 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. Web{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 3583232}, {"parameter": "", "name": "heinlein_ihringer_semidefinite_programming", "value ...

Optimal ferrers diagram rank-metric codes

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WebAbstract: 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. … WebThe 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 ...

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 … 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 …

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 … http://subspacecodes.uni-bayreuth.de/api/5/6/4/

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.

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 … highest points in a basketball gameWebJan 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 … highest points in indianaWebMay 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 … highest points in north carolinaWebFerrers 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 ... highest points in australiaWebApr 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. … highest points in ohio by countyhighest points in basketball historyWebOptimal 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 … highest points in iowa