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A generalized strong external difference family (briefly $$(v, m; k_1,\dots ,k_m; \lambda _1,\dots ,\lambda _m)$$ (v,m;k1,⋯,km;λ1,⋯,λm) -GSEDF) was introduced by Paterson and Stinson in 2016. In this paper, we give some nonexistence results for GSEDFs. In particular, we prove that a $$(v, 3;k_1,k_2,k_3; \lambda _1,\lambda _2,\lambda _3)$$ (v,3;k1,k2,k3;λ1,λ2,λ3) -GSEDF does not exist when $$k_1+k_2+k_3<...
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