Acute semigroups, the order bound on the minimum distance, and the Feng-Rao improvements

Acute semigroups, the order bound on the minimum distance, and the Feng-Rao improvements

We introduce a new class of numerical semigroups, which we call the class of acute semigroups and we prove that they generalize symmetric and pseudosymmetric numerical semigroups, Arf numerical semigroups, and the semigroups generated by an interval. For a numerical semigroup /spl Lambda/={/spl lamb...

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Veröffentlicht in:IEEE transactions on information theory 2004-06, Vol.50 (6), p.1282-1289
1. Verfasser: Bras-Amoros, M.
Format: Artikel
Sprache:eng
Schlagworte:
Codes
Conductors
Cryptography
Information theory
Intervals
Mathematical analysis
Mathematics
Reed-Solomon codes
Sorting
Systems analysis
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Zusammenfassung:We introduce a new class of numerical semigroups, which we call the class of acute semigroups and we prove that they generalize symmetric and pseudosymmetric numerical semigroups, Arf numerical semigroups, and the semigroups generated by an interval. For a numerical semigroup /spl Lambda/={/spl lambda//sub 0/
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2004.828104