MinT - Information on Result #2638694

Information on Result #2638694

Linear OOA(4²⁵⁵, 89, F₄, 3, 194) (dual of [(89, 3), 12, 195]-NRT-code), using strength reduction based on linear OOA(4²⁵⁵, 89, F₄, 3, 195) (dual of [(89, 3), 12, 196]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷⁵, 29, F₄, 3, 62) (dual of [(29, 3), 12, 63]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,24P) [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]
2. linear OOA(4¹⁶⁸, 60, F₄, 3, 132) (dual of [(60, 3), 12, 133]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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(4⁸⁷, 33, F₄, 3, 72) (dual of [(33, 3), 12, 73]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, using
        an explicitly constructive algebraic function field [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.