Linear OA(2²³¹, 583, F₂, 48) (dual of [583, 352, 49]-code), using 39 step VarÅ¡amov–Edel lengthening with (r_i) = (5, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0) based on linear OA(2²⁰⁸, 521, F₂, 48) (dual of [521, 313, 49]-code), using

• 1 times truncation [i] based on linear OA(2²⁰⁹, 522, F₂, 49) (dual of [522, 313, 50]-code), using
  • construction X applied to C_e(50) ⊂ C_e(46) [i] based on
    1. linear OA(2²⁰⁸, 512, F₂, 51) (dual of [512, 304, 52]-code), using an extension C_e(50) of the primitive narrow-sense BCH-code C(I) with length 511 = 2⁹−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51 [i]
    2. linear OA(2¹⁹⁹, 512, F₂, 47) (dual of [512, 313, 48]-code), using an extension C_e(46) of the primitive narrow-sense BCH-code C(I) with length 511 = 2⁹−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
    3. linear OA(2¹, 10, F₂, 1) (dual of [10, 9, 2]-code), using
       • discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
         • parity-check code [i]