MinT - Information on Result #2255997

Information on Result #2255997

Linear OA(32¹⁰⁶, 111, F₃₂, 96) (dual of [111, 5, 97]-code), using 4 times truncation based on linear OA(32¹¹⁰, 115, F₃₂, 100) (dual of [115, 5, 101]-code), using

juxtaposition [i] based on
1. linear OA(32²², 27, F₃₂, 22) (dual of [27, 5, 23]-code or 27-arc in PG(21,32)), using
  - discarding factors / shortening the dual code based on linear OA(32²², 32, F₃₂, 22) (dual of [32, 10, 23]-code or 32-arc in PG(21,32)), using
    - Reedâ€“Solomon code RS(10,32) [i]
2. linear OA(32⁸³, 88, F₃₂, 77) (dual of [88, 5, 78]-code), using
  - repeating each code word 2 times [i] based on linear OA(32³⁹, 44, F₃₂, 38) (dual of [44, 5, 39]-code), using
    - extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₃₂ with g(F) = 1 and N(F) ≥ 44, 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.