MinT - Information on Result #2776721

Information on Result #2776721

Linear OOA(3²³⁷, 67, F₃, 4, 158) (dual of [(67, 4), 31, 159]-NRT-code), using strength reduction based on linear OOA(3²³⁷, 67, F₃, 4, 160) (dual of [(67, 4), 31, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹³, 31, F₃, 4, 72) (dual of [(31, 4), 31, 73]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹³, 32, F₃, 4, 72) (dual of [(32, 4), 35, 73]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,55P) [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(3¹¹³, 36, F₃, 4, 87) (dual of [(36, 4), 31, 88]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,56P) [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,28P) 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.