Classifying toric surface codes of dimension 7
Emily Cairncross, Stephanie Ford, E. Lopez Garcia, Kelly Jabbusch · Involve a Journal of Mathematics · 2021
Toric surface codes are a class of error-correcting codes coming from a lattice polytope defining a two-dimensional toric variety. Previous authors have mostly completed classifications of these toric surface codes with dimension up to $k = 7.$ In this note, we correct an error in the classification of the $k=7$ case started in \cite{HLYZZ}, and disprove one of their conjectures.