Enumeration yields 1579 non-isomorphic maximum independent sets in J±(12,4) giving non-isometric kissing arrangements of size 840, with a proof that for n≡2 or 4 mod 6 all such sets arise from Steiner quadruple systems.
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Classification of independent sets in signed Johnson graphs and applications to kissing arrangements
Enumeration yields 1579 non-isomorphic maximum independent sets in J±(12,4) giving non-isometric kissing arrangements of size 840, with a proof that for n≡2 or 4 mod 6 all such sets arise from Steiner quadruple systems.