论文信息 - Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20

Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20

Self-orthogonal ternary codes of minimum weight 3 may 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 weight 6 : the supports of the words of weight 6 form 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 length 20 : there are 24 inequivalent codes, 17 of which are indecomposable. Six of the codes have minimum weight 6 .

N. J. A. Sloane | Vera Pless | Harold N. Ward

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