Weight hierarchy of a product code

Weight hierarchy of a product code

Formulas to compute the first members of the weight hierarchy of a product code are given and proved. Basic patterns for the supports of subcodes in which the minimum cardinalities can be found are presented. Hence, formulas for every term of the hierarchy can be given, and the proof for each case w...

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Veröffentlicht in:IEEE transactions on information theory 1995-09, Vol.41 (5), p.1475-1479
Hauptverfasser: Barbero, A.I., Tena, J.G.
Format: Artikel
Sprache:eng
Schlagworte:
Bar codes
Cryptography
Product codes
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Beschreibung
Zusammenfassung:Formulas to compute the first members of the weight hierarchy of a product code are given and proved. Basic patterns for the supports of subcodes in which the minimum cardinalities can be found are presented. Hence, formulas for every term of the hierarchy can be given, and the proof for each case will be a generalization of the proofs shown here.< >
ISSN:0018-9448
1557-9654
DOI:10.1109/18.412691