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Binary linear codes are constructed from graphs, in particular, by thegenerator matrix $[I_n|A]$ where $A$ is the adjacency matrix of a graph on $n$vertices. A combinatorial interpretation of the minimum distance of such codesis given. We also present graph theoretic conditions for such linear codes tobe Type I and Type II self-dual. Several examples of binary linear codesproduced by well-known graph classes are given.

Isodual and Self-dual Codes from Graphs