Linear OA(25⁵¹, 909, F₂₅, 22) (dual of [909, 858, 23]-code), using 854 step VarÅ¡amov–Edel lengthening with (r_i) = (4, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 9 times 0, 1, 11 times 0, 1, 13 times 0, 1, 15 times 0, 1, 18 times 0, 1, 22 times 0, 1, 25 times 0, 1, 31 times 0, 1, 35 times 0, 1, 42 times 0, 1, 49 times 0, 1, 57 times 0, 1, 67 times 0, 1, 79 times 0, 1, 91 times 0, 1, 108 times 0, 1, 126 times 0) based on linear OA(25²², 26, F₂₅, 22) (dual of [26, 4, 23]-code or 26-arc in PG(21,25)), using

• extended Reed–Solomon code RS_e(4,25) [i]
• algebraic-geometric code AG(F, Q+0P) with degQ = 3 and degP = 2 [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using the rational function field F₂₅(x) [i]
• algebraic-geometric code AG(F,1P) with degP = 3 [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26 (see above)