Relative generalized minimum distance functions

Manuel González Sarabia; M. Eduardo Uribe-Paczka; Elíseo Sarmiento; Carlos Rentería

Relative generalized minimum distance functions

Manuel González Sarabia, M. Eduardo Uribe-Paczka, Elíseo Sarmiento, Carlos Rentería

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

Abstract

In this paper we introduce the relative generalized minimum distance function (RGMDF for short) and it allows us to give an algebraic approach to the relative generalized Hamming weights of the projective Reed-Muller-type codes. Also, we introduce the relative generalized footprint function and it gives a tight lower bound for the RGMDF, which is much easier to compute.

Translated title of the contribution	Funciones de distancia mínima generalizada relativa
Original language	English
Pages (from-to)	298-302
Number of pages	5
Journal	Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie
Volume	65
Issue number	3
State	Published - 2022

Keywords

Relative generalized minimum distance function
relative generalized footprint function
relative generalized hamming weights

Cite this

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AU - Uribe-Paczka, M. Eduardo

AU - Sarmiento, Elíseo

AU - Rentería, Carlos

PY - 2022

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AB - In this paper we introduce the relative generalized minimum distance function (RGMDF for short) and it allows us to give an algebraic approach to the relative generalized Hamming weights of the projective Reed-Muller-type codes. Also, we introduce the relative generalized footprint function and it gives a tight lower bound for the RGMDF, which is much easier to compute.

KW - Relative generalized minimum distance function

KW - relative generalized footprint function

KW - relative generalized hamming weights

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Relative generalized minimum distance functions

Abstract

Keywords

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