Title of article :
Decoding Algebraic Geometry Codes by a Key Equation
Author/Authors :
J. I. Farr?n، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2000
Abstract :
A new effective decoding algorithm is presented for arbitrary algebraic-geometric codes on the basis of solving a generalized key equation with the majority coset scheme of Duursma. It is an improvement of Ehrhardʹs algorithm, since the method corrects up to half of the Goppa distance with complexity order (n2.81), and with no further assumption on the degree of the divisor G.
Keywords :
Ehrhardיs key equation , majority coset decoding , AG codes
Journal title :
Finite Fields and Their Applications
Journal title :
Finite Fields and Their Applications