MinT - Information on Result #2630990

Information on Result #2630990

Linear OOA(4¹²², 43, F₄, 3, 99) (dual of [(43, 3), 7, 100]-NRT-code), using strength reduction based on linear OOA(4¹²², 43, F₄, 3, 101) (dual of [(43, 3), 7, 102]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴¹, 16, F₄, 3, 36) (dual of [(16, 3), 7, 37]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴¹, 17, F₄, 3, 36) (dual of [(17, 3), 10, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,16P) [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.