On the Weight Hierarchy of Codes Coming From Semigroups With Two Generators

The weight hierarchy of one-point algebraic geometry codes can be estimated by means of the generalized order bounds, which are described in terms of a certain Weierstrass semigroup. The asymptotical behavior of such bounds for r ≥ 2 differs from that of the classical Feng-Rao distance (r=1) by the...

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Veröffentlicht in:	IEEE transactions on information theory 2014-01, Vol.60 (1), p.282-295
Hauptverfasser:	Delgado, Manuel, Farran, Jose I., Garcia-Sanchez, Pedro A., Llena, David
Format:	Artikel
Sprache:	eng
Schlagworte:	AG codes Algebra Applied sciences Arrays Coding, codes Conductors Decoding Electrical engineering Erbium Exact sciences and technology Feng-Rao numbers Frequency modulation Generators Goppa-like bounds Hamming weight Information theory Information, signal and communications theory numerical semigroups order bounds Signal and communications theory Telecommunications and information theory weight hierarchy
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