MinT - Information on Result #2637472

Information on Result #2637472

Linear OOA(4²⁴¹, 87, F₄, 3, 172) (dual of [(87, 3), 20, 173]-NRT-code), using strength reduction based on linear OOA(4²⁴¹, 87, F₄, 3, 174) (dual of [(87, 3), 20, 175]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷³, 31, F₄, 3, 58) (dual of [(31, 3), 20, 59]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁷³, 32, F₄, 3, 58) (dual of [(32, 3), 23, 59]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁴⁸, 56, F₄, 3, 115) (dual of [(56, 3), 20, 116]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,52P) [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.