MinT - Information on Result #2777160

Information on Result #2777160

Linear OOA(3²⁴³, 67, F₃, 4, 169) (dual of [(67, 4), 25, 170]-NRT-code), using strength reduction based on linear OOA(3²⁴³, 67, F₃, 4, 172) (dual of [(67, 4), 25, 173]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹⁹, 31, F₃, 4, 78) (dual of [(31, 4), 25, 79]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹⁹, 32, F₃, 4, 78) (dual of [(32, 4), 29, 79]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,49P) [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(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.