Classifying toric surface codes of dimension $7$

Abstract

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.

Final version

References in corpus (1)

• On Classification of Toric Surface Codes of Low Dimension

Cited by in corpus (1)

• Classifying toric 3-fold codes of dimensions 4 and 5