MinT - Information on Result #2634440

Information on Result #2634440

Linear OOA(4²⁰¹, 72, F₄, 3, 147) (dual of [(72, 3), 15, 148]-NRT-code), using strength reduction based on linear OOA(4²⁰¹, 72, F₄, 3, 149) (dual of [(72, 3), 15, 150]-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(4¹⁵³, 56, F₄, 3, 120) (dual of [(56, 3), 15, 121]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,47P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.