MinT - Information on Result #959827

Information on Result #959827

Linear OOA(3²²³, 89, F₃, 3, 96) (dual of [(89, 3), 44, 97]-NRT-code), using OOA 3-folding based on linear OA(3²²³, 267, F₃, 96) (dual of [267, 44, 97]-code), using

3 times truncation [i] based on linear OA(3²²⁶, 270, F₃, 99) (dual of [270, 44, 100]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81¹⁹, 30, F₈₁, 19) (dual of [30, 11, 20]-code or 30-arc in PG(18,81)), using
    - discarding factors / shortening the dual code based on linear OA(81¹⁹, 81, F₈₁, 19) (dual of [81, 62, 20]-code or 81-arc in PG(18,81)), using
      - Reedâ€“Solomon code RS(62,81) [i]
  2. linear OA(3⁵, 9, F₃, 4) (dual of [9, 4, 5]-code), using
    - discarding factors / shortening the dual code based on linear OA(3⁵, 11, F₃, 4) (dual of [11, 6, 5]-code), using
      - Golay code G(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.