MinT - Information on Result #2630756

Information on Result #2630756

Linear OOA(4¹¹⁴, 43, F₄, 3, 84) (dual of [(43, 3), 15, 85]-NRT-code), using strength reduction based on linear OOA(4¹¹⁴, 43, F₄, 3, 85) (dual of [(43, 3), 15, 86]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³³, 16, F₄, 3, 28) (dual of [(16, 3), 15, 29]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³³, 17, F₄, 3, 28) (dual of [(17, 3), 18, 29]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,22P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁶⁶, 27, F₄, 3, 56) (dual of [(27, 3), 15, 57]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.