Toric Complete Intersection Codes

Ivan Soprunov

doi:10.1016/j.jsc.2012.08.006

Toric Complete Intersection Codes

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

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.

Original language	American English
Journal	Journal of Symbolic Computation
Volume	50
DOIs	https://doi.org/10.1016/j.jsc.2012.08.006
State	Published - Mar 1 2013

Keywords

Evaluation codes
Global residue
Toric variety
Newton polytope

Disciplines

Mathematics

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10.1016/j.jsc.2012.08.006License: CC BY

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title = "Toric Complete Intersection Codes",

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.",

keywords = "Evaluation codes, Global residue, Toric variety, Newton polytope",

author = "Ivan Soprunov",

year = "2013",

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language = "American English",

volume = "50",

journal = "Journal of Symbolic Computation",

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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.

KW - Evaluation codes

KW - Global residue

KW - Toric variety

KW - Newton polytope

UR - https://engagedscholarship.csuohio.edu/scimath_facpub/243

U2 - 10.1016/j.jsc.2012.08.006

DO - 10.1016/j.jsc.2012.08.006

M3 - Article

VL - 50

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

ER -

Toric Complete Intersection Codes

Abstract

Keywords

Disciplines

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