Linear OA(16⁸⁶, 735, F₁₆, 37) (dual of [735, 649, 38]-code), using 209 step VarÅ¡amov–Edel lengthening with (r_i) = (4, 1, 0, 1, 4 times 0, 1, 10 times 0, 1, 18 times 0, 1, 30 times 0, 1, 39 times 0, 1, 47 times 0, 1, 51 times 0) based on linear OA(16⁷⁴, 514, F₁₆, 37) (dual of [514, 440, 38]-code), using

• trace code [i] based on linear OA(256³⁷, 257, F₂₅₆, 37) (dual of [257, 220, 38]-code or 257-arc in PG(36,256)), using
  • extended Reed–Solomon code RS_e(220,256) [i]
  • the expurgated narrow-sense BCH-code C(I) with length 257 | 256²âˆ’1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  • algebraic-geometric code AG(F, Q+108P) with degQ = 3 and degP = 2 [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257, using the rational function field F₂₅₆(x) [i]
  • algebraic-geometric code AG(F,73P) with degP = 3 [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257 (see above)
  • algebraic-geometric code AG(F, Q+43P) with degQ = 4 and degP = 5 [i] based on function field F/F₂₅₆ with g(F) = 0 and N(F) ≥ 257 (see above)