Optimal ferrers diagram rank-metric codes
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]. WebMar 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
Optimal ferrers diagram rank-metric codes
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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 … 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 …
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 … 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 …
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. …
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.
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 ... fly nyc to pittsburghhttp://subspacecodes.uni-bayreuth.de/api/5/6/4/ fly nyc to orlandoWebMay 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. green park interim \u0026 executive ltdWebMay 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 … fly nyc to icelandWebThe 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. green park interim and executiveWebSep 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... green park interim and executive limitedWebOptimal 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. fly ny to ashville