Linear OA(25³¹, 907, F₂₅, 13) (dual of [907, 876, 14]-code), using 863 step VarÅ¡amov–Edel lengthening with (r_i) = (4, 0, 1, 0, 0, 1, 5 times 0, 1, 8 times 0, 1, 13 times 0, 1, 17 times 0, 1, 22 times 0, 1, 31 times 0, 1, 40 times 0, 1, 54 times 0, 1, 70 times 0, 1, 93 times 0, 1, 122 times 0, 1, 160 times 0, 1, 210 times 0) based on linear OA(25¹³, 26, F₂₅, 13) (dual of [26, 13, 14]-code or 26-arc in PG(12,25)), using

• extended Reed–Solomon code RS_e(13,25) [i]
• the expurgated narrow-sense BCH-code C(I) with length 26 | 25²âˆ’1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
• algebraic-geometric code AG(F,6P) with 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,4P) with degP = 3 [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26 (see above)