On codes over ℤps with the extended lee weight

Zeynep Ödemiş Özger; Bahattin Yıldız; Steven T. Dougherty

doi:10.2298/FIL1602255O

On codes over ℤ_ps with the extended lee weight

Zeynep Ödemiş Özger, Bahattin Yıldız, Steven T. Dougherty

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

1 Scopus citations

Abstract

We consider codes over ℤ_ps with the extended Lee weight. We find Singleton bounds with respect to this weight and define MLDS and MLDR codes accordingly. We also consider the kernels of these codes and the notion of independence of vectors in this space. We investigate the linearity and duality of the Gray images of codes over ℤ_ps.

Original language	English (US)
Pages (from-to)	255-268
Number of pages	14
Journal	Filomat
Volume	30
Issue number	2
DOIs	https://doi.org/10.2298/FIL1602255O
State	Published - 2016
Externally published	Yes

Keywords

Extended lee weight
Gray map
Kernel
MLDR codes
MLDS codes
Singleton bound

ASJC Scopus subject areas

General Mathematics

Access to Document

10.2298/FIL1602255O

Cite this

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abstract = "We consider codes over ℤps with the extended Lee weight. We find Singleton bounds with respect to this weight and define MLDS and MLDR codes accordingly. We also consider the kernels of these codes and the notion of independence of vectors in this space. We investigate the linearity and duality of the Gray images of codes over ℤps.",

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AU - Yıldız, Bahattin

AU - Dougherty, Steven T.

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AB - We consider codes over ℤps with the extended Lee weight. We find Singleton bounds with respect to this weight and define MLDS and MLDR codes accordingly. We also consider the kernels of these codes and the notion of independence of vectors in this space. We investigate the linearity and duality of the Gray images of codes over ℤps.

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KW - Gray map

KW - Kernel

KW - MLDR codes

KW - MLDS codes

KW - Singleton bound

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