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Characterization of SDP Designs That Yield Certain Spin Models

Combinatorics 2007-05-23 v1

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 cardinalities of intersections of four blocks.

Cite

@article{arxiv.math/0212139,
  title  = {Characterization of SDP Designs That Yield Certain Spin Models},
  author = {Carl Bracken and Gary McGuire},
  journal= {arXiv preprint arXiv:math/0212139},
  year   = {2007}
}

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11 pages