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 …
Optimal ferrers diagram rank-metric codes
Did you know?
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 … 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 …
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 … 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.
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 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.
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...
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 … how i can use chart gptWebAbstract. 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 ... how i can update garmin gps mapsWebMay 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 … how i can use chat gptWebOptimal 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 i can use education to enhance my lifeWebFerrers 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 ... how i can use chatgpt in bingWebOptimal 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 … how i can use chat gpt in binghigh fold guest house troutbeck