MinT - Information on Result #2621996

Information on Result #2621996

Linear OOA(3¹²⁰, 46, F₃, 3, 78) (dual of [(46, 3), 18, 79]-NRT-code), using strength reduction based on linear OOA(3¹²⁰, 46, F₃, 3, 79) (dual of [(46, 3), 18, 80]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3³⁶, 18, F₃, 3, 27) (dual of [(18, 3), 18, 28]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3³⁶, 19, F₃, 3, 27) (dual of [(19, 3), 21, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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(3⁶⁶, 28, F₃, 3, 51) (dual of [(28, 3), 18, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [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.