MinT - Information on Result #2621670

Information on Result #2621670

Linear OOA(3¹¹¹, 42, F₃, 3, 74) (dual of [(42, 3), 15, 75]-NRT-code), using strength reduction based on linear OOA(3¹¹¹, 42, F₃, 3, 75) (dual of [(42, 3), 15, 76]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁰, 15, F₃, 3, 23) (dual of [(15, 3), 15, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁰, 16, F₃, 3, 23) (dual of [(16, 3), 18, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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(3⁶⁶, 27, F₃, 3, 51) (dual of [(27, 3), 15, 52]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,29P) [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.