vix.ing · top · new · best · stats · spec

Connectedness of projective codes in the Grassmann graph

2018/06/07 by Mark Pankov, Pankov, Mark
Computer Science · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1806.02729

openalex publication_date 2018/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the concept of projective systems for linear codes and elementary linear algebra, we show that projective [n,k]q codes form a connected subgraph in the Grassmann graph consisting of k-dimensional subspaces of an n-dimensional vector space over the q-element field.

Citations

Related