MinT - Information on Result #868993

Information on Result #868993

Linear OOA(27¹⁰⁶, 55, F₂₇, 2, 96) (dual of [(55, 2), 4, 97]-NRT-code), using OOA 2-folding based on linear OA(27¹⁰⁶, 110, F₂₇, 96) (dual of [110, 4, 97]-code), using

discarding factors / shortening the dual code based on linear OA(27¹⁰⁶, 111, F₂₇, 96) (dual of [111, 5, 97]-code), using
- juxtaposition [i] based on
  1. linear OA(27⁴², 47, F₂₇, 40) (dual of [47, 5, 41]-code), using
    - discarding factors / shortening the dual code based on linear OA(27⁴², 48, F₂₇, 40) (dual of [48, 6, 41]-code), using
      - extended algebraic-geometric code AG_e(F,7P) [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(27⁵⁹, 64, F₂₇, 55) (dual of [64, 5, 56]-code), using
    - extended algebraic-geometric code AG_e(F,8P) [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.