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

Department of Mathematical Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

16 Citations (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.

Original language	English
Journal	Advances in Mathematics of Communications
Volume	4
Issue number	3
Pages (from-to)	363-367
Number of pages	5
ISSN	1930-5346
DOIs	https://doi.org/10.3934/amc.2010.4.363
Publication status	Published - 2010

Keywords

linear code
bounds on the minimum distance
matrix-product code
quasi-cyclic code

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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",

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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

Keywords

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