Linear OA(3¹²⁴, 868, F₃, 28) (dual of [868, 744, 29]-code), using 124 step VarÅ¡amov–Edel lengthening with (r_i) = (3, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 5 times 0, 1, 7 times 0, 1, 11 times 0, 1, 15 times 0, 1, 19 times 0, 1, 23 times 0, 1, 27 times 0) based on linear OA(3¹⁰⁹, 729, F₃, 28) (dual of [729, 620, 29]-code), using

• an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 3⁶−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]