Connectedness of projective codes in the Grassmann graph
Mark Pankov · arXiv (Cornell University) · 2018
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.