MinT - Information on Result #2776877

Information on Result #2776877

Linear OOA(3²³⁹, 67, F₃, 4, 163) (dual of [(67, 4), 29, 164]-NRT-code), using strength reduction based on linear OOA(3²³⁹, 67, F₃, 4, 164) (dual of [(67, 4), 29, 165]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹⁵, 31, F₃, 4, 74) (dual of [(31, 4), 29, 75]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹⁵, 32, F₃, 4, 74) (dual of [(32, 4), 33, 75]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,53P) [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(3¹¹⁵, 36, F₃, 4, 89) (dual of [(36, 4), 29, 90]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [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,27P) 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.