The graphs of non-degenerate linear codes
Mark Pankov
Abstract
Open-access reader
Mark Pankov
Abstract
Open-access reader
We consider the Grassmann graph of $k$-dimensional subspaces of an $n$-dimensional vector space over the $q$-element field and its subgraph $Γ(n,k)_q$ formed by non-degenerate linear $[n,k]_q$ codes. We assume that $1
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
We consider the Grassmann graph of $k$-dimensional subspaces of an $n$-dimensional vector space over the $q$-element field and its subgraph $Γ(n,k)_q$ formed by non-degenerate linear $[n,k]_q$ codes. We assume that $1
Key concepts: Mathematics, Combinatorics, Automorphism, Linear subspace, Vector space, Exterior algebra, Grassmannian, Dual space