MinT - Information on Result #959027

Information on Result #959027

Linear OOA(3¹⁶³, 62, F₃, 3, 81) (dual of [(62, 3), 23, 82]-NRT-code), using OOA 3-folding based on linear OA(3¹⁶³, 186, F₃, 81) (dual of [186, 23, 82]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁶³, 187, F₃, 81) (dual of [187, 24, 82]-code), using
- 2 times truncation [i] based on linear OA(3¹⁶⁵, 189, F₃, 83) (dual of [189, 24, 84]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(27¹³, 21, F₂₇, 13) (dual of [21, 8, 14]-code or 21-arc in PG(12,27)), using
      - discarding factors / shortening the dual code based on linear OA(27¹³, 27, F₂₇, 13) (dual of [27, 14, 14]-code or 27-arc in PG(12,27)), using
        Reedâ€“Solomon code RS(14,27) [i]
    2. linear OA(3⁶, 9, F₃, 5) (dual of [9, 3, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁶, 10, F₃, 5) (dual of [10, 4, 6]-code), using
        projective code from ovoid in PG(3,Â 3) [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.