MinT - Information on Result #956949

Information on Result #956949

Linear OOA(3¹²⁶, 50, F₃, 3, 58) (dual of [(50, 3), 24, 59]-NRT-code), using OOA 3-folding based on linear OA(3¹²⁶, 150, F₃, 58) (dual of [150, 24, 59]-code), using

strength reduction [i] based on linear OA(3¹²⁶, 150, F₃, 59) (dual of [150, 24, 60]-code), using
- concatenation of two codes [i] based on
  1. linear OA(81⁹, 15, F₈₁, 9) (dual of [15, 6, 10]-code or 15-arc in PG(8,81)), using
    - discarding factors / shortening the dual code based on linear OA(81⁹, 81, F₈₁, 9) (dual of [81, 72, 10]-code or 81-arc in PG(8,81)), using
      - Reedâ€“Solomon code RS(72,81) [i]
  2. 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.