On the existence of error-correcting pairs

G.R. Pellikaan

doi:10.1016/0378-3758(95)00088-7

On the existence of error-correcting pairs

G.R. Pellikaan

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

17 Citaten (Scopus)

Samenvatting

Algebraic-geometric codes have a t-error-correcting pair which corrects errors up to half the designed minimum distance. A generalization of the Roos bound is given from cyclic to linear codes. An MDS code of minimum distance 5 has a 2-error-correcting pair if and only if it is an extended-generalized-Reed–Solomon code.

Originele taal-2	Engels
Pagina's (van-tot)	229-242
Aantal pagina's	14
Tijdschrift	Journal of Statistical Planning and Inference
Volume	51
Nummer van het tijdschrift	2
DOI's	https://doi.org/10.1016/0378-3758(95)00088-7
Status	Gepubliceerd - 1996

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10.1016/0378-3758(95)00088-7

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AB - Algebraic-geometric codes have a t-error-correcting pair which corrects errors up to half the designed minimum distance. A generalization of the Roos bound is given from cyclic to linear codes. An MDS code of minimum distance 5 has a 2-error-correcting pair if and only if it is an extended-generalized-Reed–Solomon code.

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On the existence of error-correcting pairs

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