Optimal ferrers diagram rank-metric codes
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. 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 …
Optimal ferrers diagram rank-metric codes
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http://subspacecodes.uni-bayreuth.de/api/5/6/4/ WebThe Ferrers diagram rank metric code is a set of matrices having nonzero entries only at positionswheretheFerrersdiagramhasdotsandequippedwiththerankdistancemetric.For …
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... Web{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 3583232}, {"parameter": "", "name": "heinlein_ihringer_semidefinite_programming", "value ...
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://arxiv-export3.library.cornell.edu/abs/1405.1885v1
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 … small business outlookWebOptimal 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 … some good discord namesWebAbstract. 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 ... small business outreach centerWebJan 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 … small business outreachWebThe 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. small business outdoor security camerasWebThe 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 ... some good ideasWebAbstract: 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. … small business outreach efforts