Information sets and partial permutation decoding for codes from finite geometries

@article{Key2006InformationSA,
  title={Information sets and partial permutation decoding for codes from finite geometries},
  author={Jennifer D. Key and T. P. McDonough and Vassili C. Mavron},
  journal={Finite Fields and Their Applications},
  year={2006},
  volume={12},
  pages={232-247}
}
We determine information sets for the generalized Reed-Muller codes and use these to apply partial permutation decoding to codes from finite geometries over prime fields. We also obtain new bases of minimum-weight vectors for the codes of the designs of points and hyperplanes over prime fields. 

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