Linear codes associated to the ideal of points in ℙd and its canonical module

C. Rentería; H. Tapia-Recillas

doi:10.1080/00927879608825624

Linear codes associated to the ideal of points in ℙ^d and its canonical module

C. Rentería, H. Tapia-Recillas

Escuela Superior de Física y Matemáticas (ESFM)

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

9 Scopus citations

Abstract

A class of error detecting-correcting linear codes arising from the canonical module of a 0-dimensional subscheme in a d-dirnensional projective space over a finite field is described. The dimension of the codes is obtained by means of the Hubert function of the canonical module. It is shown that these codes are the dual of the codes obtained by the evaluation map of homogeneous polynomials on the points of the subscheme. Some examples are included to illustrate the ideas.

Original language	English
Pages (from-to)	1083-1090
Number of pages	8
Journal	Communications in Algebra
Volume	24
Issue number	3
DOIs	https://doi.org/10.1080/00927879608825624
State	Published - 1996

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abstract = "A class of error detecting-correcting linear codes arising from the canonical module of a 0-dimensional subscheme in a d-dirnensional projective space over a finite field is described. The dimension of the codes is obtained by means of the Hubert function of the canonical module. It is shown that these codes are the dual of the codes obtained by the evaluation map of homogeneous polynomials on the points of the subscheme. Some examples are included to illustrate the ideas.",

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AB - A class of error detecting-correcting linear codes arising from the canonical module of a 0-dimensional subscheme in a d-dirnensional projective space over a finite field is described. The dimension of the codes is obtained by means of the Hubert function of the canonical module. It is shown that these codes are the dual of the codes obtained by the evaluation map of homogeneous polynomials on the points of the subscheme. Some examples are included to illustrate the ideas.

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DO - 10.1080/00927879608825624

M3 - Artículo

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JF - Communications in Algebra

IS - 3

ER -

Linear codes associated to the ideal of points in ℙ^d and its canonical module

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