MinT - Information on Result #970131

Information on Result #970131

Linear OOA(4²¹⁶, 88, F₄, 3, 113) (dual of [(88, 3), 48, 114]-NRT-code), using OOA 3-folding based on linear OA(4²¹⁶, 264, F₄, 113) (dual of [264, 48, 114]-code), using

strength reduction [i] based on linear OA(4²¹⁶, 264, F₄, 115) (dual of [264, 48, 116]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64²⁸, 44, F₆₄, 28) (dual of [44, 16, 29]-code or 44-arc in PG(27,64)), using
    - discarding factors / shortening the dual code based on linear OA(64²⁸, 64, F₆₄, 28) (dual of [64, 36, 29]-code or 64-arc in PG(27,64)), using
      - Reedâ€“Solomon code RS(36,64) [i]
  2. linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
    - hyperoval in PG(2,Â 4) [i]
    - the Hexacode [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.