MinT - Information on Result #2631205

Information on Result #2631205

Linear OOA(4¹²⁹, 46, F₄, 3, 103) (dual of [(46, 3), 9, 104]-NRT-code), using strength reduction based on linear OOA(4¹²⁹, 46, F₄, 3, 104) (dual of [(46, 3), 9, 105]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁸, 19, F₄, 3, 41) (dual of [(19, 3), 9, 42]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴⁸, 21, F₄, 3, 41) (dual of [(21, 3), 15, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,18P) [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.