MinT - Information on Result #2624214

Information on Result #2624214

Linear OOA(3¹⁶⁹, 58, F₃, 3, 133) (dual of [(58, 3), 5, 134]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁹, 58, F₃, 3, 134) (dual of [(58, 3), 5, 135]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²⁵, 10, F₃, 3, 22) (dual of [(10, 3), 5, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹³⁹, 48, F₃, 3, 111) (dual of [(48, 3), 5, 112]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(3³¹, 12, F₃, 3, 27) (dual of [(12, 3), 5, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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.