Title of article
Generalized AG codes and generalized duality
Author/Authors
Gerhard Dorfer، نويسنده , , Hiren Maharaj، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
17
From page
194
To page
210
Abstract
In (J. Pure Appl. Algebra 55 (1988) 199), Stichtenoth gave sufficient conditions for algebraic–geometric Goppa codes to be self-dual. We adapt this work using differentials to the setting of generalized AG codes introduced by Xing et al. (IEEE Trans. Inform. Theory 45 (1999) 2498). As a consequence we are naturally led to generalized notions of duality for codes. Many examples are presented.
Keywords
algebraic curves , Algebraic function fields , Duality , Goppa codes
Journal title
Finite Fields and Their Applications
Serial Year
2003
Journal title
Finite Fields and Their Applications
Record number
701089
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