It is unknown whether or not there exists a \([51, 5, 33; 3]\)-code (meeting the Griesmer bound). The purpose of this paper is to show that there is no \([51, 5, 33; 3]\)-code.
Citation
Noboru Hamada, Tor Helleseth, Oyvind Ytrehus. The nonexistence of \([51,5,33;3]\)-codes[J], Ars Combinatoria, Volume 035. 25-32. DOI: .