Notes on classification of toric surface codes of dimension 5

DOI10.1007/s00200-009-0096-2zbMath1174.94029OpenAlexW2077635620MaRDI QIDQ734039

Huaiqing Zuo, Stephen Shing-Toung Yau

Publication date: 19 October 2009

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-009-0096-2

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)

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Classifying toric surface codes of dimension 7 ⋮ On classification of toric surface codes of low dimension

Cites Work

• On toric codes and multivariate Vandermonde matrices
• Toric varieties, Hirzebruch surfaces and error-correcting codes
• Toric codes over finite fields
• On the parameters of \(r\)-dimensional toric codes
• Toric Surface Codes and Minkowski Sums
• The Newton polygon of plane curves with many rational points
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