Computer Science – Information Theory
Scientific paper
2012-03-20
Computer Science
Information Theory
This paper has been withdrawn by the authors due to a flaw in the proof of the theorem giving the second weight of a projectiv
Scientific paper
We make a brief survey on low weight codewords of generalized Reed-Muller codes and projective generalized Reed-Muller codes. In the affine case we give some information about the words that reach the second distance in cases where these words are not all characterized. Moreover we give the second weight of the projective Reed-Muller codes which was unknown until now. We relate the words of the projective Reed-Muller code reaching the second distance to the words of the affine Reed-Muller code reaching the second distance.
Ballet Stephane
Rolland Robert
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