MinT - Information on Result #868947

Information on Result #868947

Linear OOA(27¹¹⁰, 61, F₂₇, 2, 90) (dual of [(61, 2), 12, 91]-NRT-code), using OOA 2-folding based on linear OA(27¹¹⁰, 122, F₂₇, 90) (dual of [122, 12, 91]-code), using

discarding factors / shortening the dual code based on linear OA(27¹¹⁰, 123, F₂₇, 90) (dual of [123, 13, 91]-code), using
- juxtaposition [i] based on
  1. linear OA(27³⁴, 47, F₂₇, 32) (dual of [47, 13, 33]-code), using
    - discarding factors / shortening the dual code based on linear OA(27³⁴, 48, F₂₇, 32) (dual of [48, 14, 33]-code), using
      - extended algebraic-geometric code AG_e(F,15P) [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(27⁶³, 76, F₂₇, 57) (dual of [76, 13, 58]-code), using
    - extended algebraic-geometric code AG_e(F,18P) [i] based on function field F/F₂₇ with g(F) = 6 and N(F) ≥ 76, 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.