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A class of codes generated by circulant weighing matrices
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2p points adjacent algebraic asymptotic automorphism BIBD bipartite graphs blocks Cayley graph circuit clique codes colourings column Combinatorial Theory complete bipartite graph complete graph components conjecture connected cubic graphs consider construction contains Corollary corresponding cubic graphs cycle decomposition defined denote Department of Mathematics digraph disjoint distance-regular graph Divisibility Condition elements equation equidistant permutation arrays exists Figure finite foliated trees follows given graceful graphs graph G Graph Theory group G Hadamard matrices Harary Hence hypergraph integral equivalence intersect Jennifer Seberry labelled connected cubic latin square lattice legitimate deck Lemma Math matrix of order n-tuples obtain orthogonal pair parameters partition PB2-design permutation graphs prefix code problem projective plane Proof prove rectangle result root triangle S.A. Vanstone satisfying self-complementary sequences subgraph of G subgroup subset Suppose symmetric Table Theorem topology University valence values vectors vertex set vertices weight