MinT - Information on Result #661451

Information on Result #661451

Linear OA(2²⁵⁴, 264, F₂, 125) (dual of [264, 10, 126]-code), using concatenation of two codes based on

linear OA(4⁸³, 88, F₄, 62) (dual of [88, 5, 63]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁸³, 89, F₄, 62) (dual of [89, 6, 63]-code), using
  - 1 times truncation [i] based on linear OA(4⁸⁴, 90, F₄, 63) (dual of [90, 6, 64]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
        Denniston code D(1,16) [i]
      2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
        extended Reedâ€“Solomon code RS_e(2,4) [i]
        Simplex code S(2,4) [i]
linear OA(2¹, 3, F₂, 1) (dual of [3, 2, 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]

Mode: Constructive and linear.

None.

None.