Construction of a new class of codes from generalized Hermitian curves

Construction of a new class of codes from generalized Hermitian curves

A new class of linear codes is constructed from generalized Hermitian curves. The codes are distinct from algebraic-geometric codes. It is shown that these new codes are better than some of the AG codes on Garcia and Stichtenoth (see Inventions Mathematics, vol.121, p.211-22, 1995) curves.

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Bibliographische Detailangaben
Hauptverfasser: Ba-Zhong Shen, Tzeng, K.K.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Binary codes
Equations
Linear code
Poles and towers
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Beschreibung
Zusammenfassung:A new class of linear codes is constructed from generalized Hermitian curves. The codes are distinct from algebraic-geometric codes. It is shown that these new codes are better than some of the AG codes on Garcia and Stichtenoth (see Inventions Mathematics, vol.121, p.211-22, 1995) curves.
DOI:10.1109/ISIT.1997.613348