Any circulant ternary coherent configuration of prime degree p is schurian, except possibly when it is an association scheme on triples with Aut(X) equal to AGL1(p) for p ≡ ±1 mod 8 or a proper subgroup thereof.
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On circulant ternary coherent configurations of prime degree
Any circulant ternary coherent configuration of prime degree p is schurian, except possibly when it is an association scheme on triples with Aut(X) equal to AGL1(p) for p ≡ ±1 mod 8 or a proper subgroup thereof.