MinT - Information on Result #859650

Information on Result #859650

Linear OOA(16⁸⁴, 47, F₁₆, 2, 66) (dual of [(47, 2), 10, 67]-NRT-code), using OOA 2-folding based on linear OA(16⁸⁴, 94, F₁₆, 66) (dual of [94, 10, 67]-code), using

discarding factors / shortening the dual code based on linear OA(16⁸⁴, 95, F₁₆, 66) (dual of [95, 11, 67]-code), using
- juxtaposition [i] based on
  1. linear OA(16¹⁹, 30, F₁₆, 17) (dual of [30, 11, 18]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁹, 33, F₁₆, 17) (dual of [33, 14, 18]-code), using
      - extended algebraic-geometric code AG_e(F,15P) [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(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.