以圖論與網格方式建構二距離集與等角線族

The determination of maximal size of equiangular lines of rank 14 was finished by algebraic methods. Nevertheless a construction of a larger equiangular line set of rank 18 was given by Greaves et al. using the integer lattice, as we proposed. The search of few distance sets usingforbiddengraphs was machine-heavy. Anewdirectionusingcoherentcon?gurationand Euclidean tight designs was pursued instead. The settlement ofLemmens-Seidel conjecture was finally published.