Abstract
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 the cardinalities of intersections of four blocks.
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AMS classification:05B20, 05E30
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Bracken, C., Mcguire, G. Characterization of SDP Designs That Yield Certain Spin Models. Des Codes Crypt 36, 45–52 (2005). https://doi.org/10.1007/s10623-003-1161-7
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DOI: https://doi.org/10.1007/s10623-003-1161-7