Construcción de códigos de control de paridad a través de códigos geométricos de Goppa. (The parity check codes through geometric Goppa codes.)

Wilson Olaya (wolaya@uis.edu.co)


Facultad de Ciencias, Escuela de Matemáticas, Universidad Industrial de Santander (UIS), Colombia.
This paper appears in: Revista IEEE América Latina

Publication Date: March 2007
Volume: 5,   Issue: 1 
ISSN: 1548-0992


Abstract:
This work treats a way to obtain the parity check codes through geometric Goppa codes. Two cases have been considered depending on the taken field characteristic as alphabet and on the code length. It has been used the technique of linear code restriction. More precisely, it has been showed that the parity check codes are obtained as the restriction of a rational geometric Goppa code.

Index Terms:
Error Correcting Codes, geometric Goppa codes, algebraic function fields.   


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