MinT - Information on Result #629446

Information on Result #629446

Linear OA(2¹⁹⁸, 216, F₂, 79) (dual of [216, 18, 80]-code), using concatenation of two codes based on

linear OA(4⁶³, 72, F₄, 39) (dual of [72, 9, 40]-code), using
- discarding factors / shortening the dual code 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.