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 HLYZZ, and disprove one of their conjectures.
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