MinT - Information on Result #2634918

Information on Result #2634918

Linear OOA(4²⁰⁸, 76, F₄, 3, 146) (dual of [(76, 3), 20, 147]-NRT-code), using strength reduction based on linear OOA(4²⁰⁸, 76, F₄, 3, 149) (dual of [(76, 3), 20, 150]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁰, 20, F₄, 3, 33) (dual of [(20, 3), 20, 34]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴⁰, 21, F₄, 3, 33) (dual of [(21, 3), 23, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(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.