Optimal ferrers diagram rank-metric codes
Web{"upper_bound_constraints": [{"parameter": "", "name": "trivial_3", "value": 3583232}, {"parameter": "", "name": "heinlein_ihringer_semidefinite_programming", "value ... 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 …
Optimal ferrers diagram rank-metric codes
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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 … WebNov 15, 2024 · For a given m × n Ferrers diagram F, an [ F, k, δ] q Ferrers diagram rank-metric (FDRM) code, briefly an [ F, k, δ] q code, is an [ m × n, k, δ] q rank-metric code in which for each m × n matrix, all entries not in F are zero. If F is a full m × n diagram with mn dots, then its corresponding FDRM codes are just classical 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 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 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 ...
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 …
WebThe Ferrers diagram rank metric code is a set of matrices having nonzero entries only at positionswheretheFerrersdiagramhasdotsandequippedwiththerankdistancemetric.For … crypto fraud statisticsWebMay 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 … crypto free scannerWebApr 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. … crypto free hubWebOptimal 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. crypto free gamesWebSep 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... crypto free bonusWebMay 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 … crypto free courseWebProblem 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 ... crypto free mining sites