MinT - Information on Result #2634432

Information on Result #2634432

Linear OOA(4²⁰¹, 70, F₄, 3, 159) (dual of [(70, 3), 9, 160]-NRT-code), using strength reduction based on linear OOA(4²⁰¹, 70, F₄, 3, 160) (dual of [(70, 3), 9, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁹, 16, F₄, 3, 34) (dual of [(16, 3), 9, 35]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³⁹, 17, F₄, 3, 34) (dual of [(17, 3), 12, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵³, 54, F₄, 3, 125) (dual of [(54, 3), 9, 126]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.