Linear OA(3¹¹⁶, 856, F₃, 26) (dual of [856, 740, 27]-code), using 108 step VarÅ¡amov–Edel lengthening with (r_i) = (3, 1, 1, 0, 1, 0, 0, 1, 4 times 0, 1, 6 times 0, 1, 8 times 0, 1, 12 times 0, 1, 17 times 0, 1, 21 times 0, 1, 26 times 0) based on linear OA(3¹⁰³, 735, F₃, 26) (dual of [735, 632, 27]-code), using

• construction X applied to C_e(25) ⊂ C_e(24) [i] based on
  1. linear OA(3¹⁰³, 729, F₃, 26) (dual of [729, 626, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 3⁶−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3⁹⁷, 729, F₃, 25) (dual of [729, 632, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 3⁶−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(3⁰, 6, F₃, 0) (dual of [6, 6, 1]-code), using
     • discarding factors / shortening the dual code based on linear OA(3⁰, s, F₃, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
       • OA with only one run / dual of code without redundancy [i]