Jun 2, 2023 · Moreover, by studying the geometric structures of these scattered subspaces, we determine the rank weight distribution of the associated codes.
In this section, we will give some details on the notions of -systems, evasive (and scattered) subspaces, and linear cutting blocking sets of F q m k , ...
Feb 10, 2024 · Moreover, by studying the geometric structures of these scattered subspaces, we determine the rank weight distribution of the associated codes.
Short rank-metric codes and scattered subspaces · Generalized Subspace Subcodes in the Rank Metric · Completely decomposable rank-metric codes · On MSRD codes, h- ...
By exploiting the connection between scattered F q -subspaces of F q m 3 and minimal nondegenerate 3-dimensional rank-metric codes of F q m n , n ≥ m + 2 ...
By exploiting the connection between scattered $\mathbb{F}_q$-subspaces of $\mathbb{F}_{q^m}^3$ and minimal non degenerate $3$-dimensional rank metric codes ...
The concept of aRank-saturating system and its correspondence to a rank-metric code with a given covering radius is introduced and constructions of rank-ρ ...
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In this paper we study geometric aspects of codes in the sum-rank metric. We establish the geometric description of generalised weights, and analyse the ...
Oct 22, 2024 · clinical coding. Article. Short Rank-Metric Codes and Scattered Subspaces. October 2024; SIAM Journal on Discrete Mathematics 38(4):2578-2598.
By exploiting the connection between scattered Fq-subspaces of F3q m and minimal nondegenerate 3-dimensional rank-metric codes of Fnq m, n ≥q m + 2, described ...