Optimal 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 … 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 …
Optimal ferrers diagram rank-metric codes
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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 … 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 …
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 ... 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.
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
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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 … list the 3 animal welfare acts in nswWebApr 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. … impact of demonetization on banking sectorWebMay 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. impact of demographic forces amazonWeband 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]. impact of dementia on spouseWebOptimal 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. list the 2 types of planetsWebAbstract: 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. … impact of demonetization in nigeriaWebFerrers 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 ... list the 2 outputs that booleans can have