@inbook{367282ccabac407eb957126a68f5d7dd,
title = "Decoding linear error-correcting codes up to half the minimum distance with Gr{\"o}bner bases",
abstract = "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 Gr{\"o}bner basis for the system considered.",
author = "S. Bulygin and G.R. Pellikaan",
year = "2009",
doi = "10.1007/978-3-540-93806-4_21",
language = "English",
isbn = "978-3-540-93805-7",
series = "Texts and Monographs in Symbolic Computation",
publisher = "Springer",
pages = "361--365",
editor = "M. Sala and T. Mora and L. Perret and S. Sakata and C. Traverso",
booktitle = "Gr{\"o}bner Bases, Coding, and Cryptography",
address = "Germany",
}