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- W2055726455 abstract "Self-orthogonal ternary codes of minimum weight <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>3</tex> 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 <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>6</tex> : the supports of the words of weight <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>6</tex> 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 <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>20</tex> : there are <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>24</tex> inequivalent codes, <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>17</tex> of which are indecomposable. Six of the codes have minimum weight <tex xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>6</tex> ." @default.
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- W2055726455 date "1980-05-01" @default.
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- W2055726455 title "Ternary codes of minimum weight 6 and the classification of the self-dual codes of length 20" @default.
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- W2055726455 doi "https://doi.org/10.1109/tit.1980.1056195" @default.
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