MinT - Information on Result #661447

Information on Result #661447

Linear OA(2²⁴⁹, 261, F₂, 121) (dual of [261, 12, 122]-code), using concatenation of two codes based on

linear OA(4⁸¹, 87, F₄, 60) (dual of [87, 6, 61]-code), using
- 3 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.

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