MinT - Information on Result #629441

Information on Result #629441

Linear OA(2¹⁹², 210, F₂, 75) (dual of [210, 18, 76]-code), using concatenation of two codes based on

linear OA(4⁶¹, 70, F₄, 37) (dual of [70, 9, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(4⁶¹, 73, F₄, 37) (dual of [73, 12, 38]-code), using
  - 2 times truncation [i] based on linear OA(4⁶³, 75, F₄, 39) (dual of [75, 12, 40]-code), using
    - concatenation of two codes [i] based on
      1. linear OA(16⁹, 15, F₁₆, 9) (dual of [15, 6, 10]-code or 15-arc in PG(8,16)), using
        discarding factors / shortening the dual code based on linear OA(16⁹, 16, F₁₆, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
        Reedâ€“Solomon code RS(7,16) [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.