MinT - Information on Result #2634682

Information on Result #2634682

Linear OOA(4²⁰⁵, 77, F₄, 3, 136) (dual of [(77, 3), 26, 137]-NRT-code), using strength reduction based on linear OOA(4²⁰⁵, 77, F₄, 3, 137) (dual of [(77, 3), 26, 138]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵², 26, F₄, 3, 42) (dual of [(26, 3), 26, 43]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,35P) [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(4¹²⁷, 51, F₄, 3, 94) (dual of [(51, 3), 26, 95]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4¹²⁷, 55, F₄, 3, 94) (dual of [(55, 3), 38, 95]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,70P) [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.