MinT - Information on Result #2863003

Information on Result #2863003

Linear OOA(3²⁴³, 53, F₃, 5, 189) (dual of [(53, 5), 22, 190]-NRT-code), using 7 step truncation based on linear OOA(3²⁵⁰, 55, F₃, 5, 196) (dual of [(55, 5), 25, 197]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹¹⁰, 27, F₃, 5, 95) (dual of [(27, 5), 25, 96]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹¹⁰, 28, F₃, 5, 95) (dual of [(28, 5), 30, 96]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,44P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁵, 28, F₃, 5, 100) (dual of [(28, 5), 25, 101]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,39P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

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.