Linear OA(4²⁰³, 4505, F₄, 43) (dual of [4505, 4302, 44]-code), using 393 step VarÅ¡amov–Edel lengthening with (r_i) = (2, 1, 0, 0, 1, 5 times 0, 1, 12 times 0, 1, 24 times 0, 1, 44 times 0, 1, 71 times 0, 1, 101 times 0, 1, 125 times 0) based on linear OA(4¹⁹³, 4102, F₄, 43) (dual of [4102, 3909, 44]-code), using

• construction X applied to C_e(42) ⊂ C_e(41) [i] based on
  1. linear OA(4¹⁹³, 4096, F₄, 43) (dual of [4096, 3903, 44]-code), using an extension C_e(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 4⁶−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(4¹⁸⁷, 4096, F₄, 42) (dual of [4096, 3909, 43]-code), using an extension C_e(41) of the primitive narrow-sense BCH-code C(I) with length 4095 = 4⁶−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  3. linear OA(4⁰, 6, F₄, 0) (dual of [6, 6, 1]-code), using
     • discarding factors / shortening the dual code based on linear OA(4⁰, s, F₄, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
       • OA with only one run / dual of code without redundancy [i]