Small weight codewords in the codes arising from Desarguesian projective planes

We study codewords of small weight in the codes arising from Desarguesian projective planes. We first of all improve the results of K. Chouinard on codewords of small weight in the codes arising from PG(2, p), p prime. Chouinard characterized all the codewords up to weight 2p in these codes. Using a particular basis for this code, described by Moorhouse, we characterize all the codewords of weight up to 2p + (p - 1)/2 if

• Type: Journal
• Year: 2008
• Where: DCC
• Authors: Veerle Fack, Szabolcs L. Fancsali, Leo Storme, Geertrui Van de Voorde, Joost Winne
• Keywords: Codewords, Computer Graphics, DCC 2008, Desarguesian Projective Planes, Small Weight