Unique Decoding of Plane AG Codes Revisited
classification
💻 cs.IT
math.IT
keywords
decodinguniquealgorithmcodesinterpolation-basedalgebraicbasebases
read the original abstract
We reformulate a recently introduced interpolation-based unique decoding algorithm of algebraic geometry codes using the theory of Gr\"obner bases of modules on the coordinate ring of the base curve. With the same decoding performance, the new algorithm has a more conceptual description that lets us better understand the majority voting procedure central in the interpolation-based unique decoding.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.