MinT - Information on Result #2635061

Information on Result #2635061

Linear OOA(4²¹⁰, 75, F₄, 3, 155) (dual of [(75, 3), 15, 156]-NRT-code), using strength reduction based on linear OOA(4²¹⁰, 75, F₄, 3, 156) (dual of [(75, 3), 15, 157]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴², 19, F₄, 3, 35) (dual of [(19, 3), 15, 36]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴², 21, F₄, 3, 35) (dual of [(21, 3), 21, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [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(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.