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arxiv: math/0212139 · v1 · submitted 2002-12-10 · 🧮 math.CO

Characterization of SDP Designs That Yield Certain Spin Models

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keywords designsmodelsspinanalysisblockscardinalitiescertaincharacterization
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We characterize the SDP designs that give rise to four-weight spin models with two values. We prove that the only such designs are the symplectic SDP designs. The proof involves analysis of cardinalities of intersections of four blocks.

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