MinT - Information on Result #860062

Information on Result #860062

Linear OOA(16⁹¹, 49, F₁₆, 2, 76) (dual of [(49, 2), 7, 77]-NRT-code), using OOA 2-folding based on linear OA(16⁹¹, 98, F₁₆, 76) (dual of [98, 7, 77]-code), using

strength reduction [i] based on linear OA(16⁹¹, 98, F₁₆, 77) (dual of [98, 7, 78]-code), using
- juxtaposition [i] based on
  1. linear OA(16²⁶, 33, F₁₆, 24) (dual of [33, 7, 25]-code), using
    - extended algebraic-geometric code AG_e(F,8P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
      - a function field by SÃ©mirat [i]
  2. linear OA(16⁵⁸, 65, F₁₆, 52) (dual of [65, 7, 53]-code), using
    - extended algebraic-geometric code AG_e(F,12P) [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.