In this short note we show how one can decode linear error-correcting codes up to half the minimum distance via solving a system of polynomial equations over a finite field. We also explicitly present the reduced Gröbner basis for the system considered. © 2009 Springer-Verlag Berlin Heidelberg.
CITATION STYLE
Bulygin, S., & Pellikaan, R. (2009). Decoding linear error-correcting codes up to half the minimum distance with Gröbner bases. In Gröbner Bases, Coding, and Cryptography (pp. 361–365). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-93806-4_21
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