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Journal of Symbolic Computation
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Journal of Symbolic Computation
Article . 2013
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Toric complete intersection codes

Authors: Ivan Soprunov;

Toric complete intersection codes

Abstract

In this paper we give lower bounds for the minimum distance of evaluation codes constructed from complete intersections in toric varieties. This generalizes the results of Gold-Little-Schenck and Ballico-Fontanari who considered evaluation codes on complete intersections in the projective space.

14 pages, 2 figures. Minor changes, simpler proofs, new examples

Keywords

FOS: Computer and information sciences, Computational Mathematics, Mathematics - Algebraic Geometry, Algebra and Number Theory, Computer Science - Information Theory, Information Theory (cs.IT), FOS: Mathematics, Algebraic Geometry (math.AG), 14M25, 14G50 (Primary) 52B20, 94B27 (Secondary)

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    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
12
Top 10%
Top 10%
Top 10%
Green
hybrid