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Lattice polytopes in coding theory

Ivan Soprunov

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Source: Crossref

Published: May 15, 2015

DOI: 10.13069/jacodesmath.75353

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Source abstract

In this paper we discuss combinatorial questions about lattice polytopes motivated by recent results on minimum distance estimation for toric codes. We also include a new inductive bound for the minimum distance of generalized toric codes. As an application, we give new formulas for the minimum distance of generalized toric codes for special lattice point configurations.

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Lattice polytopes in coding theory — Mathematical Frontier Network