(1) Department of Mathematics, NUI Maynooth, Co., Kildare, Ireland;(2) Department of Mathematics, NUI Maynooth, Co., Kildare, Ireland
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.AMS classification:05B20, 05E30