MinT - Information on Result #955100

Information on Result #955100

Linear OOA(3⁶¹, 22, F₃, 3, 40) (dual of [(22, 3), 5, 41]-NRT-code), using OOA 3-folding based on linear OA(3⁶¹, 66, F₃, 40) (dual of [66, 5, 41]-code), using

discarding factors / shortening the dual code based on linear OA(3⁶¹, 67, F₃, 40) (dual of [67, 6, 41]-code), using
- juxtaposition [i] based on
  1. linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
    - Golay code G(3) [i]
  2. linear OA(3⁵⁰, 56, F₃, 35) (dual of [56, 6, 36]-code), using
    - dual code (with bound on d by constructionÂ Y1) [i] based on
      1. linear OA(3⁶, 56, F₃, 3) (dual of [56, 50, 4]-code or 56-cap in PG(5,3)), using
        the Hill cap [i]
      2. nonexistence of linear OA(3⁵, 21, F₃, 3) (dual of [21, 16, 4]-code or 21-cap in PG(4,3)), because
        20 is the largest size of a cap in PG(4,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.