MinT - Information on Result #2663261

Information on Result #2663261

Linear OOA(4²⁴⁴, 83, F₄, 3, 199) (dual of [(83, 3), 5, 200]-NRT-code), using 1 step truncation based on linear OOA(4²⁴⁵, 84, F₄, 3, 200) (dual of [(84, 3), 7, 201]-NRT-code), using

juxtaposition [i] based on
1. 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]
2. linear OOA(4¹⁶⁴, 57, F₄, 3, 135) (dual of [(57, 3), 7, 136]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code) (see above)
    2. linear OOA(4⁸³, 30, F₄, 3, 70) (dual of [(30, 3), 7, 71]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₄ with g(F) = 13 and N(F) ≥ 30, using
        F₄ 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.