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Maximum size of equiangular lines in $\mathbb{R}^{19}$ has been known in therange between 72 to 76 since 1973. Acoording to the nonexistence of stronglyregular graph $(75,32,10,16)$ \cite{aza15}, Larmen-Rogers-Seidel Theorem\cite{lar77} and Lemmen-Seidel bounds on equiangular lines with common angle$\frac 1 3$ \cite{lem73}, we can prove that there are no 76 equiangular linesin $\mathbb{R}^{19}$. As a corollary, there is no strongly regular graph$(76,35,18,14)$. Similar discussion can prove that there are no 96 equiangularlines in $\mathbb{R}^{20}$.

There are no 76 equiangular lines in $R^{19}$