Hard and soft-decision list decoding of AG codes using Grobner basis solutions of constrained interpolations

Henry O’Keeffe, Patrick M. Fitzpatrick · 2003

We present an interpolation algorithm for use in the hard and soft-decision list decoding of 1-point algebraic geometry codes. This is a further application of our general Grobner basis algorithm, previously applied to the list decoding of Reed-Solomon codes.

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