3 research outputs found
Characterization of SDP Designs That Yield Certain Spin Models
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.Comment: 11 page
Spin models constructed from Hadamard matrices
A spin model (for link invariants) is a square matrix which satisfies
certain axioms. For a spin model , it is known that is a
permutation matrix, and its order is called the index of . F. Jaeger and K.
Nomura found spin models of index 2, by modifying the construction of symmetric
spin models from Hadamard matrices. The aim of this paper is to give a
construction of spin models of an arbitrary even index from any Hadamard
matrix. In particular, we show that our spin models of indices a power of 2 are
new.Comment: 16 pages, minor revisio
Characterization of SDP designs that yield certain spin models. submitted
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. 1 Keywords: symmetric difference property, design, spin model, symplectic. 2