Some new extremal self-dual codes with lengths 44, 50, 54, and 58

Some new extremal self-dual codes with lengths 44, 50, 54, and 58

We construct extremal self-dual codes with lengths 44, 50, 54, and 58. They have weight enumerators for which extremal codes were previously not known to exist. Two methods are used for constructing the codes using self dual codes of same or smaller length. To obtain the codes we use a combinatorial...

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Veröffentlicht in:IEEE transactions on information theory 1998-03, Vol.44 (2), p.809-812
Hauptverfasser: Boukliev, I., Buyuklieva, S.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Codes
Cryptography
Lattices
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Zusammenfassung:We construct extremal self-dual codes with lengths 44, 50, 54, and 58. They have weight enumerators for which extremal codes were previously not known to exist. Two methods are used for constructing the codes using self dual codes of same or smaller length. To obtain the codes we use a combinatorial optimization search.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.661526