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On classification of toric surface codes of dimension seven - MaRDI portal

On classification of toric surface codes of dimension seven (Q2186096)

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On classification of toric surface codes of dimension seven
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    On classification of toric surface codes of dimension seven (English)
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    9 June 2020
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    Following previous work on the classification of low-dimensional toric surface codes by \textit{S. S. T. Yau} and \textit{H. Zuo} [Appl. Algebra Eng. Commun. Comput. 20, No. 2, 175--185 (2009; Zbl 1174.94029)] and \textit{X. Luo} et al. [Finite Fields Appl. 33, 90--102 (2015; Zbl 1394.14017)] the main results of the paper under review extend the classification, up to monomial equivalence, of toric surface codes of dimension less than or equal to \(7\), with the monomial equivalence of some pairs of toric codes in this range still undetermined.
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    toric surface
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    linear codes
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    Minkowski sum
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