Information sets and partial permutation decoding for codes from finite geometries

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. Key words: Codes, finite geometries, designs PACS: 05, 51, 94

• Type: Journal
• Year: 2006
• Where: FFA
• Authors: Jennifer D. Key, T. P. McDonough, Vassili C. Mavron
• Keywords: FFA 2006, Generalized Reed-muller Codes, Partial Permutation, Prime Fields