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On the sizes of expander graphs and minimum distances of graph codes. (English) Zbl 1288.05070
Summary: We give lower bounds for the minimum distances of graph codes based on expander graphs. The bounds depend only on the second eigenvalue of the graph and the parameters of the component codes. We also give an upper bound on the size of a degree regular graph with given second eigenvalue.

MSC:
05C12 Distance in graphs
05C35 Extremal problems in graph theory
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
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