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A Tutorial on AG Code Decoding from a Gröbner Basis Perspective

In: Gröbner Bases, Coding, and Cryptography

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  • Douglas A. Leonard

    (Auburn University, Department of Mathematics and Statistics)

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.

Suggested Citation

  • Douglas A. Leonard, 2009. "A Tutorial on AG Code Decoding from a Gröbner Basis Perspective," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 187-196, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-93806-4_11
    DOI: 10.1007/978-3-540-93806-4_11
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