Toric codes from order polytopes

DOI10.1007/s00454-021-00329-wOpenAlexW3194098905MaRDI QIDQ2689244

Takayuki Hibi, Mahir Bilen Can

Publication date: 9 March 2023

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03651

zbMATH Keywords

parametertoric codeorder polytopebipartite posetshrubposet polytope

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorics of partially ordered sets (06A07)

Related Items

$\mathbb{F}_q$-Zeros of Sparse Trivariate Polynomials and Toric 3-Fold Codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The numbers of edges of the order polytope and the chain polytope of a finite partially ordered set
• Smooth Fano polytopes arising from finite partially ordered sets
• On toric codes and multivariate Vandermonde matrices
• Two poset polytopes
• Error-correcting codes from higher-dimensional varieties
• Toric varieties, Hirzebruch surfaces and error-correcting codes
• On the parameters of \(r\)-dimensional toric codes
• A decomposition theorem for partially ordered sets
• Bringing Toric Codes to the Next Dimension
• Toric Surface Codes and Minkowski Sums