MinT - Information on Result #827412

Information on Result #827412

Linear OOA(4⁷³, 41, F₄, 2, 49) (dual of [(41, 2), 9, 50]-NRT-code), using OOA 2-folding based on linear OA(4⁷³, 82, F₄, 49) (dual of [82, 9, 50]-code), using

discarding factors / shortening the dual code based on linear OA(4⁷³, 83, F₄, 49) (dual of [83, 10, 50]-code), using
- 2 times truncation [i] based on linear OA(4⁷⁵, 85, F₄, 51) (dual of [85, 10, 52]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(16¹², 17, F₁₆, 12) (dual of [17, 5, 13]-code or 17-arc in PG(11,16)), using
      - extended Reedâ€“Solomon code RS_e(5,16) [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.