MinT - Information on Result #860204

Information on Result #860204

Linear OOA(16⁹⁸, 53, F₁₆, 2, 80) (dual of [(53, 2), 8, 81]-NRT-code), using OOA 2-folding based on linear OA(16⁹⁸, 106, F₁₆, 80) (dual of [106, 8, 81]-code), using

discarding factors / shortening the dual code based on linear OA(16⁹⁸, 107, F₁₆, 80) (dual of [107, 9, 81]-code), using
- juxtaposition [i] based on
  1. linear OA(16³³, 42, F₁₆, 29) (dual of [42, 9, 30]-code), using
    - discarding factors / shortening the dual code based on linear OA(16³³, 45, F₁₆, 29) (dual of [45, 12, 30]-code), using
      - extended algebraic-geometric code AG_e(F,15P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(16⁵⁶, 65, F₁₆, 50) (dual of [65, 9, 51]-code), using
    - extended algebraic-geometric code AG_e(F,14P) [i] based on function field F/F₁₆ with g(F) = 6 and N(F) ≥ 65, using
      - the Hermitian function field over F₁₆ [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.