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Graphs related to $2$-dimensional simplex codes

math.CO · 2019-08-10 · conditional · novelty 6.0

For 4-ary simplex codes of dimension 2, the graph of codes is connected of diameter 3, with 162 vertices, each having 25 neighbors, 130 second neighbors, and 6 third neighbors, and the distance-2 layer splits into orbits of sizes 20, 90, and 20.

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  • Graphs related to $2$-dimensional simplex codes math.CO · 2019-08-10 · conditional · none · ref 2

    For 4-ary simplex codes of dimension 2, the graph of codes is connected of diameter 3, with 162 vertices, each having 25 neighbors, 130 second neighbors, and 6 third neighbors, and the distance-2 layer splits into orbits of sizes 20, 90, and 20.