MinT - Information on Result #661440

Information on Result #661440

Linear OA(2²²⁰, 234, F₂, 101) (dual of [234, 14, 102]-code), using concatenation of two codes based on

linear OA(4⁷¹, 78, F₄, 50) (dual of [78, 7, 51]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁷¹, 79, F₄, 50) (dual of [79, 8, 51]-code), using
  - 1 times truncation [i] 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.

None.

None.