MinT - Information on Result #828860

Information on Result #828860

Linear OOA(4⁸¹, 43, F₄, 2, 60) (dual of [(43, 2), 5, 61]-NRT-code), using OOA 2-folding based on linear OA(4⁸¹, 86, F₄, 60) (dual of [86, 5, 61]-code), using

discarding factors / shortening the dual code 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]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.