Using Grobner bases in decoding AG codes

Autor: D.A. Leonard
Rok vydání: 2002
Předmět:
Zdroj: 1998 Information Theory Workshop (Cat. No.98EX131).
DOI: 10.1109/itw.1998.706395
Popis: Methods are suggested for decoding algebraic geometric (AG) codes that are not one-point codes by extending majority voting to handle more than one unknown syndrome at a time. This allows for descriptions of AG codes using fewer variables and possibly all the rational points, but means that one must do more complicated calculations to produce unknown syndromes.
Databáze: OpenAIRE