MinT - Information on Result #2218081

Information on Result #2218081

Linear OA(27⁸⁶, 89, F₂₇, 80) (dual of [89, 3, 81]-code), using strength reduction based on linear OA(27⁸⁶, 89, F₂₇, 81) (dual of [89, 3, 82]-code), using

juxtaposition [i] based on
1. linear OA(27²³, 26, F₂₇, 23) (dual of [26, 3, 24]-code or 26-arc in PG(22,27)), using
  - discarding factors / shortening the dual code based on linear OA(27²³, 27, F₂₇, 23) (dual of [27, 4, 24]-code or 27-arc in PG(22,27)), using
    - Reedâ€“Solomon code RS(4,27) [i]
2. linear OA(27⁶⁰, 63, F₂₇, 57) (dual of [63, 3, 58]-code), using
  - juxtaposition [i] based on
    1. linear OA(27²², 25, F₂₇, 22) (dual of [25, 3, 23]-code or 25-arc in PG(21,27)), using
      - discarding factors / shortening the dual code based on linear OA(27²², 27, F₂₇, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,27)), using
        Reedâ€“Solomon code RS(5,27) [i]
    2. linear OA(27³⁵, 38, F₂₇, 34) (dual of [38, 3, 35]-code), using
      - extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, 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.