MinT - Information on Result #1052705

Information on Result #1052705

Linear OOA(2⁵⁸, 22, F₂, 4, 23) (dual of [(22, 4), 30, 24]-NRT-code), using OOA 2-folding based on linear OOA(2⁵⁸, 44, F₂, 2, 23) (dual of [(44, 2), 30, 24]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁵⁸, 45, F₂, 2, 23) (dual of [(45, 2), 32, 24]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16⁷, 15, F₁₆, 7) (dual of [15, 8, 8]-code or 15-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 OOA(2², 3, F₂, 2, 2) (dual of [(3, 2), 4, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;4,2) [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.