Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field

Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field

Grassmann codes are linear codes associated with the Grassmann variety $G(\ell,m)$ of $\ell$-dimensional subspaces of an $m$ dimensional vector space $\mathbb{F}_{q}^{m}.$ They were studied by Nogin for general $q.$ These codes are conveniently described using the correspondence between non-degenera...

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Bibliographic Details
Main Authors: M.A. Rakdi, N. Midoune
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2019-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
trivector
grassmannian
weight
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/2120

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