Non-existence of sets of type $$\mathbf (0, 1, 2 , {\varvec{n}}_{{\varvec{d}}})_{{\varvec{d}}}$$(0,1,2,nd)d in PG($${\varvec{r,q}}$$r,q) with $$\mathbf 3 \le {\varvec{d}}\le {\varvec{r}}-\mathbf 1 $$3≤d≤r-1 and $${\varvec{r}}\ge \mathbf 4 $$r≥4
Title:
Non-existence of sets of type $$\mathbf (0, 1, 2 , {\varvec{n}}_{{\varvec{d}}})_{{\varvec{d}}}$$(0,1,2,nd)d in PG($${\varvec{r,q}}$$r,q) with $$\mathbf 3 \le {\varvec{d}}\le {\varvec{r}}-\mathbf 1 $$3≤d≤r-1 and $${\varvec{r}}\ge \mathbf 4 $$r≥4
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