MinT - Information on Result #2775319

Information on Result #2775319

Linear OOA(3²¹⁹, 61, F₃, 4, 152) (dual of [(61, 4), 25, 153]-NRT-code), using strength reduction based on linear OOA(3²¹⁹, 61, F₃, 4, 154) (dual of [(61, 4), 25, 155]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷⁵, 25, F₃, 4, 60) (dual of [(25, 4), 25, 61]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷⁵, 28, F₃, 4, 60) (dual of [(28, 4), 37, 61]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,51P) [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(3¹¹⁹, 36, F₃, 4, 93) (dual of [(36, 4), 25, 94]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,50P) [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,25P) 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.