@article{SaZi10d,
author = {Mehwish Saleemi and Karl-Heinz Zimmermann},
title = {From ideals in polynomial rings to linear codes using Groebner bases.},
journal = {International Journal of Pure and Applied Mathematics (IJPAM).},
year = {2010},
volume = {65.},
number = {(1),},
pages = {41-54},
month = {December},
note = {khzimmermann, AEG},
publisher = {AP:},
howpublished = {10-15 SaZi10d IJPAM},
abstract = {In this paper, we investigate linear codes as ideals in the group algebra over an elementary abelian p-group. We provide a description of these codes in terms of Groebner bases and supply corresponding encoding and decoding procedures. In particular, we study generalizations of primitive Reed-Muller codes, construct their Groebner bases, and give their code parameters. Finally, we show that the class of codes studied contains an interesting family of linear codes. These codes have a designed Hamming distance and turn out to be superior to the primitive Reed-Muller codes in the non-binary case.}
}

@COMMENT{Bibtex file generated on 2026-5-22 with typo3 si_bibtex plugin. Data from https://www.tuhh.de/es/home/publications }