Linear OA(2²³², 592, F₂, 48) (dual of [592, 360, 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, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0) based on linear OA(2²⁰⁹, 530, F₂, 48) (dual of [530, 321, 49]-code), using

• 1 times truncation [i] based on linear OA(2²¹⁰, 531, F₂, 49) (dual of [531, 321, 50]-code), using
  • construction XX applied to C₁ = C([509,44]), C₂ = C([0,46]), C₃ = C₁ + C₂ = C([0,44]), and C_∩ = C₁ ∩ C₂ = C([509,46]) [i] based on
    1. linear OA(2¹⁹⁹, 511, F₂, 47) (dual of [511, 312, 48]-code), using the primitive BCH-code C(I) with length 511 = 2⁹−1, defining interval I = {−2,−1,…,44}, and designed minimum distance d ≥ |I|+1 = 48 [i]
    2. linear OA(2¹⁹⁹, 511, F₂, 47) (dual of [511, 312, 48]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 2⁹−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
    3. linear OA(2²⁰⁸, 511, F₂, 49) (dual of [511, 303, 50]-code), using the primitive BCH-code C(I) with length 511 = 2⁹−1, defining interval I = {−2,−1,…,46}, and designed minimum distance d ≥ |I|+1 = 50 [i]
    4. linear OA(2¹⁹⁰, 511, F₂, 45) (dual of [511, 321, 46]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 2⁹−1, defining interval I = [0,44], and designed minimum distance d ≥ |I|+1 = 46 [i]
    5. 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]
    6. linear OA(2¹, 10, F₂, 1) (dual of [10, 9, 2]-code) (see above)