MinT - Information on Result #868854

Information on Result #868854

Linear OOA(27⁹⁹, 54, F₂₇, 2, 84) (dual of [(54, 2), 9, 85]-NRT-code), using OOA 2-folding based on linear OA(27⁹⁹, 108, F₂₇, 84) (dual of [108, 9, 85]-code), using

discarding factors / shortening the dual code based on linear OA(27⁹⁹, 109, F₂₇, 84) (dual of [109, 10, 85]-code), using
- juxtaposition [i] based on
  1. linear OA(27³⁵, 45, F₂₇, 33) (dual of [45, 10, 34]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁵, 48, F₂₇, 33) (dual of [48, 13, 34]-code), using
      - extended algebraic-geometric code AG_e(F,14P) [i] based on function field F/F₂₇ with g(F) = 2 and N(F) ≥ 48, using
        a function field by GarcÃa and Quoos [i]
  2. linear OA(27⁵⁴, 64, F₂₇, 50) (dual of [64, 10, 51]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₂₇ with g(F) = 4 and N(F) ≥ 64, using
      - a function field by SÃ©mirat [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.