Computing the minimum distance of the $C({\mathbb{O}}_{3,6})$ polar Orthogonal Grassmann code with elementary methods

Sarah Gregory, Fernando Piñero-González, Doel Rivera-Laboy +1

The polar orthogonal Grassmann code $C({\mathbb{O}}_{3,6})$ is the linear code associated to the Grassmann embedding of the Dual Polar space of $Q^{+}(5,q)$. In this manuscript we stud…