Maximum flag-rank distance codes Article Swipe
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Gianira N. Alfarano
,
Alessandro Neri
,
Ferdinando Zullo
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.jcta.2024.105908
· OA: W4398155040
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.jcta.2024.105908
· OA: W4398155040
In this paper we extend the study of linear spaces of upper triangular matrices endowed with the flag-rank metric. Such metric spaces are isometric to certain spaces of degenerate flags and have been suggested as suitable framework for network coding. In this setting we provide a Singleton-like bound which relates the parameters of a flag-rank-metric code. This allows us to introduce the family of maximum flag-rank distance codes, that are flag-rank-metric codes meeting the Singleton-like bound with equality. Finally, we provide several constructions of maximum flag-rank distance codes.
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