Geometric approach to higher weights

Geometric approach to higher weights

The notion of higher (or generalized) weights of codes is just as natural as that of the classical Hamming weight. The authors adopt the geometric point of view and always treat the q-ary case. Some results and proofs being new, the main goal is to present a clear picture of what is known on the sub...

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Veröffentlicht in:IEEE transactions on information theory 1995-11, Vol.41 (6), p.1564-1588
Hauptverfasser: Tsfasman, M.A., Vladut, S.G.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Block codes
Codes
Cryptography
Galois fields
Geometry
Hamming weight
Linear code
Vectors
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Zusammenfassung:The notion of higher (or generalized) weights of codes is just as natural as that of the classical Hamming weight. The authors adopt the geometric point of view and always treat the q-ary case. Some results and proofs being new, the main goal is to present a clear picture of what is known on the subject.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.476213