Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20
Vera S. Pless, Neil J.A. Sloane, Harold N. Ward · IEEE Transactions on Information Theory · 1980
Self-orthogonal ternary codes of minimum weight3may be analyzed in a straightforward manner using the theory of glueing introduced in earlier papers. The present paper describes a method for studying codes of minimum weight6: the supports of the words of weight6form what is called a center set. Associated with each center set is a graph, and all the graphs that can arise in this way are known. These techniques are used to classify the ternary self-dual codes of length20: there are24inequivalent codes,17of which are indecomposable. Six of the codes have minimum weight6.