MinT - Information on Result #947986

Information on Result #947986

Linear OOA(2⁸⁸, 34, F₂, 3, 39) (dual of [(34, 3), 14, 40]-NRT-code), using OOA 3-folding based on linear OA(2⁸⁸, 102, F₂, 39) (dual of [102, 14, 40]-code), using

discarding factors / shortening the dual code based on linear OA(2⁸⁸, 104, F₂, 39) (dual of [104, 16, 40]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16⁹, 13, F₁₆, 9) (dual of [13, 4, 10]-code or 13-arc in PG(8,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁹, 16, F₁₆, 9) (dual of [16, 7, 10]-code or 16-arc in PG(8,16)), using
      - Reedâ€“Solomon code RS(7,16) [i]
  2. linear OA(2⁴, 8, F₂, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), using
    - Reedâ€“Muller code RM(1,3) [i]
    - caps in base bÂ =Â 2 [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.