Toric complete intersection codes

Ivan Soprunov

doi:10.1016/j.jsc.2012.08.006

Toric complete intersection codes

Ivan Soprunov

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

In this paper we construct evaluation codes on zero-dimensional complete intersections in toric varieties and give lower bounds for their minimum distance. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space. © 2012 Elsevier B.V.

Original language	English
Pages (from-to)	374-385
Number of pages	12
Journal	Journal of Symbolic Computation
Volume	50
Issue number	Issue
DOIs	https://doi.org/10.1016/j.jsc.2012.08.006
State	Published - Mar 1 2013

Keywords

Evaluation codes
Global residue
Newton polytope
Toric variety

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10.1016/j.jsc.2012.08.006

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AB - In this paper we construct evaluation codes on zero-dimensional complete intersections in toric varieties and give lower bounds for their minimum distance. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space. © 2012 Elsevier B.V.

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KW - Global residue

KW - Newton polytope

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Toric complete intersection codes

Abstract

Keywords

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