MinT - Information on Result #947195

Information on Result #947195

Linear OOA(2⁸⁴, 37, F₂, 3, 31) (dual of [(37, 3), 27, 32]-NRT-code), using OOA 3-folding based on linear OA(2⁸⁴, 111, F₂, 31) (dual of [111, 27, 32]-code), using

discarding factors / shortening the dual code based on linear OA(2⁸⁴, 112, F₂, 31) (dual of [112, 28, 32]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16⁷, 14, F₁₆, 7) (dual of [14, 7, 8]-code or 14-arc in PG(6,16)), using
    - discarding factors / shortening the dual code based on linear OA(16⁷, 16, F₁₆, 7) (dual of [16, 9, 8]-code or 16-arc in PG(6,16)), using
      - Reedâ€“Solomon code RS(9,16) [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.