Lexi-bounds conjecture for short linear codes and saturating sets
Let ℓq(r,3)\ell_q(r,3)ℓq(r,3) be the length function, let ℓq(r,3,5)\ell_q(r,3,5)ℓq(r,3,5) be the ddd-length function, let sq(r−1,2)s_q(r-1,2)sq(r−1,2) be the smallest size of a 222-saturating set in PG(r−1,q)\mathrm{PG}(r-1,q)PG(r−1,q), and…