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arXiv · 2009.09821

Classifying toric surface codes of dimension $7$

Emily Cairncross·Stephanie Ford·Eli Garcia·Kelly Jabbusch
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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.

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Emily Cairncross, Stephanie Ford, Eli Garcia, Kelly Jabbusch. 2020-09-21. Classifying toric surface codes of dimension $7$. https://doi.org/10.2140/involve.2021.14.605

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