MinT - Information on Result #2622063

Information on Result #2622063

Linear OOA(3¹²², 46, F₃, 3, 82) (dual of [(46, 3), 16, 83]-NRT-code), using strength reduction based on linear OOA(3¹²², 46, F₃, 3, 83) (dual of [(46, 3), 16, 84]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁸, 18, F₃, 3, 29) (dual of [(18, 3), 16, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁸, 19, F₃, 3, 29) (dual of [(19, 3), 19, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,27P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁶⁸, 28, F₃, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,30P) [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.