MinT - Information on Result #1134169

Information on Result #1134169

Linear OOA(2¹⁴⁹, 43, F₂, 6, 50) (dual of [(43, 6), 109, 51]-NRT-code), using OOA 2-folding based on linear OOA(2¹⁴⁹, 86, F₂, 3, 50) (dual of [(86, 3), 109, 51]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁴⁹, 87, F₂, 3, 50) (dual of [(87, 3), 112, 51]-NRT-code), using
- 1 step truncation [i] based on linear OOA(2¹⁵⁰, 88, F₂, 3, 51) (dual of [(88, 3), 114, 52]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OOA(8²⁸, 22, F₈, 3, 25) (dual of [(22, 3), 38, 26]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(8²⁸, 24, F₈, 3, 25) (dual of [(24, 3), 44, 26]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,46P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
        the Klein quartic over F₈ [i]
    2. linear OA(2¹, 4, F₂, 1) (dual of [4, 3, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(2¹, s, F₂, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [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.