MinT - Information on Result #661443

Information on Result #661443

Linear OA(2²²³, 237, F₂, 103) (dual of [237, 14, 104]-code), using concatenation of two codes based on

linear OA(4⁷², 79, F₄, 51) (dual of [79, 7, 52]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁷², 80, F₄, 51) (dual of [80, 8, 52]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹², 16, F₁₆, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
      - Reedâ€“Solomon code RS(4,16) [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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