MinT - Information on Result #834438

Information on Result #834438

Linear OOA(4²¹⁴, 116, F₄, 2, 133) (dual of [(116, 2), 18, 134]-NRT-code), using OOA 2-folding based on linear OA(4²¹⁴, 232, F₄, 133) (dual of [232, 18, 134]-code), using

2 times truncation [i] based on linear OA(4²¹⁶, 234, F₄, 135) (dual of [234, 18, 136]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³³, 39, F₆₄, 33) (dual of [39, 6, 34]-code or 39-arc in PG(32,64)), using
    - discarding factors / shortening the dual code based on linear OA(64³³, 64, F₆₄, 33) (dual of [64, 31, 34]-code or 64-arc in PG(32,64)), using
      - Reedâ€“Solomon code RS(31,64) [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.