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- PublicationTwo-Weight Codes, Graphs and Orthogonal ArraysWe investigate properties of two-weight codes over finite Frobenius rings, giving constructions for the modular case. A δ-modular code  is characterized as having a generator matrix where each column g appears with multiplicity δ|gR×| for some δ ∈ Q. Generalizing  and , we show that the additive group of a two-weight code satisfying certain constraint equations (and in particular a modular code) has a strongly regular Cayley graph and derive existence conditions on its parameters. We provide a construction for an infinite family of modular two-weight codes arising from unions of submodules with pairwise trivial intersection. The corresponding strongly regular graphs are isomorphic to graphs from orthogonal arrays.
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