A new class of codes meeting the Griesmer bound

H.C.A. Tilborg, van; T. Helleseth

doi:10.1109/TIT.1981.1056405

A new class of codes meeting the Griesmer bound

H.C.A. Tilborg, van, T. Helleseth

Discrete Mathematics

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

18 Citaten (Scopus)

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An infinite sequence ofk-dimensional binary linear block codes is constructed with parametersn=2^{k}+2^{k-2}-15,d=2^{k-1}+2^{k-3}-8,k geq 7. Fork geq 8these codes are unique, while there are five nonisomorphic codes fork=7. By shortening these codes in an appropriate way, one finds codes meeting the Griesmer bound for2^{k-1}+2^{k-3}-15 leq d leq 2^{k-1}+2^{k-3}-8; k geq 7.

Originele taal-2	Engels
Pagina's (van-tot)	548-555
Aantal pagina's	8
Tijdschrift	IEEE Transactions on Information Theory
Volume	27
Nummer van het tijdschrift	5
DOI's	https://doi.org/10.1109/TIT.1981.1056405
Status	Gepubliceerd - 1981

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10.1109/TIT.1981.1056405

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title = "A new class of codes meeting the Griesmer bound",

abstract = "An infinite sequence ofk-dimensional binary linear block codes is constructed with parametersn=2^{k}+2^{k-2}-15,d=2^{k-1}+2^{k-3}-8,k geq 7. Fork geq 8these codes are unique, while there are five nonisomorphic codes fork=7. By shortening these codes in an appropriate way, one finds codes meeting the Griesmer bound for2^{k-1}+2^{k-3}-15 leq d leq 2^{k-1}+2^{k-3}-8; k geq 7.",

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AB - An infinite sequence ofk-dimensional binary linear block codes is constructed with parametersn=2^{k}+2^{k-2}-15,d=2^{k-1}+2^{k-3}-8,k geq 7. Fork geq 8these codes are unique, while there are five nonisomorphic codes fork=7. By shortening these codes in an appropriate way, one finds codes meeting the Griesmer bound for2^{k-1}+2^{k-3}-15 leq d leq 2^{k-1}+2^{k-3}-8; k geq 7.

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A new class of codes meeting the Griesmer bound

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