MinT - Information on Result #2626571

Information on Result #2626571

Linear OOA(3²⁰⁹, 72, F₃, 3, 159) (dual of [(72, 3), 7, 160]-NRT-code), using strength reduction based on linear OOA(3²⁰⁹, 72, F₃, 3, 160) (dual of [(72, 3), 7, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁶¹, 56, F₃, 3, 125) (dual of [(56, 3), 7, 126]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.