MinT - Information on Result #2786398

Information on Result #2786398

Linear OOA(3²⁴⁵, 66, F₃, 4, 180) (dual of [(66, 4), 19, 181]-NRT-code), using 4 step truncation based on linear OOA(3²⁴⁹, 67, F₃, 4, 184) (dual of [(67, 4), 19, 185]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁰⁵, 31, F₃, 4, 84) (dual of [(31, 4), 19, 85]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁰⁵, 32, F₃, 4, 84) (dual of [(32, 4), 23, 85]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,43P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²⁵, 36, F₃, 4, 99) (dual of [(36, 4), 19, 100]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,44P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
    - an explicitly constructive algebraic function field [i]
  - algebraic-geometric NRT-code AG(4;F,22P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [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.