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A Tutorial on AG Code Decoding from a Gröbner Basis Perspective

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Abstract

This chapter presents material about syndrome decoding and list decoding of AG codes. The syndrome decoding of AG codes is viewed in terms of Sakata’s generalization of the Berlekamp–Massey algorithm and Feng and Rao’s majority voting scheme. Their list-decoding is viewed following Sudan’s ideas and some variations.

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Correspondence to Douglas A. Leonard .

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Leonard, D.A. (2009). A Tutorial on AG Code Decoding from a Gröbner Basis Perspective. In: Sala, M., Sakata, S., Mora, T., Traverso, C., Perret, L. (eds) Gröbner Bases, Coding, and Cryptography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-93806-4_11

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