New linear codes from matrix-product codes with polynomial units

Fernando Hernando; Diego Ruano Benito

doi:10.3934/amc.2010.4.363

New linear codes from matrix-product codes with polynomial units

Fernando Hernando
, Diego Ruano Benito

Institut for Matematiske Fag

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

19 Citationer (Scopus)

Abstract

A new construction of codes from old ones is considered, it is an extension of the matrix-product construction. Several linear codes that improve the parameters of the known ones are presented.

Originalsprog	Engelsk
Tidsskrift	Advances in Mathematics of Communications
Vol/bind	4
Udgave nummer	3
Sider (fra-til)	363-367
Antal sider	5
ISSN	1930-5346
DOI	https://doi.org/10.3934/amc.2010.4.363
Status	Udgivet - 2010

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10.3934/amc.2010.4.363

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Citationsformater

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title = "New linear codes from matrix-product codes with polynomial units",

abstract = "A new construction of codes from old ones is considered, it is an extension of the matrix-product construction. Several linear codes that improve the parameters of the known ones are presented.",

keywords = "linear code, bounds on the minimum distance, matrix-product code, quasi-cyclic code",

author = "Fernando Hernando and \{Ruano Benito\}, Diego",

year = "2010",

doi = "10.3934/amc.2010.4.363",

language = "English",

volume = "4",

pages = "363--367",

journal = "Advances in Mathematics of Communications",

issn = "1930-5346",

publisher = "American Institute of Mathematical Sciences",

number = "3",

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TY - JOUR

T1 - New linear codes from matrix-product codes with polynomial units

AU - Hernando, Fernando

AU - Ruano Benito, Diego

PY - 2010

Y1 - 2010

N2 - A new construction of codes from old ones is considered, it is an extension of the matrix-product construction. Several linear codes that improve the parameters of the known ones are presented.

AB - A new construction of codes from old ones is considered, it is an extension of the matrix-product construction. Several linear codes that improve the parameters of the known ones are presented.

KW - linear code

KW - bounds on the minimum distance

KW - matrix-product code

KW - quasi-cyclic code

U2 - 10.3934/amc.2010.4.363

DO - 10.3934/amc.2010.4.363

M3 - Journal article

SN - 1930-5346

VL - 4

SP - 363

EP - 367

JO - Advances in Mathematics of Communications

JF - Advances in Mathematics of Communications

IS - 3

ER -

New linear codes from matrix-product codes with polynomial units

Abstract

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