MinT - Information on Result #859951

Information on Result #859951

Linear OOA(16⁹², 51, F₁₆, 2, 73) (dual of [(51, 2), 10, 74]-NRT-code), using OOA 2-folding based on linear OA(16⁹², 102, F₁₆, 73) (dual of [102, 10, 74]-code), using

discarding factors / shortening the dual code based on linear OA(16⁹², 103, F₁₆, 73) (dual of [103, 11, 74]-code), using
- juxtaposition [i] based on
  1. linear OA(16²⁷, 38, F₁₆, 24) (dual of [38, 11, 25]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
      - a function field by SÃ©mirat [i]
  2. linear OA(16⁵⁴, 65, F₁₆, 48) (dual of [65, 11, 49]-code), using
    - extended algebraic-geometric code AG_e(F,16P) [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.