site stats

Optimal ferrers diagram rank-metric codes

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 · 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.

Optimal Ferrers Diagram Rank-Metric Codes - IEEE Xplore

WebProblem 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 ... 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 … hovering flying insect https://riflessiacconciature.com

[1405.1885] 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. 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. … 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 … hovering golf cart

Constructions of optimal Ferrers diagram rank metric codes

Category:Optimal Ferrers Diagram Rank-Metric Codes IEEE Transactions …

Tags:Optimal ferrers diagram rank-metric codes

Optimal ferrers diagram rank-metric codes

Optimal Ferrers Diagram Rank-Metric Codes IEEE Transactions …

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 … 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

Did you know?

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

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 ... 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 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 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 … hovering gaming mouseWebSep 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... how many grams in 8 0zWebNov 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 … how many grams in 8 ounces of milkWebMar 1, 2024 · Codes Cryptogr. 2009 50 2 163 172 2469975 10.1007/s10623-008-9221-7 Google Scholar Digital Library; 27. Zhang T Ge G Constructions of optimal Ferrers diagram rank metric codes Des. Codes Cryptogr. 2024 87 1 107 121 3897554 10.1007/s10623-018-0491-4 Google Scholar Digital Library how many grams in 800mgWebMay 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. hovering ghost propWebMay 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 … hovering ghost animatronichttp://arxiv-export3.library.cornell.edu/abs/1405.1885v1 hovering glow ball