MinT - Information on Result #2776158

Information on Result #2776158

Linear OOA(3²³⁰, 63, F₃, 4, 165) (dual of [(63, 4), 22, 166]-NRT-code), using strength reduction based on linear OOA(3²³⁰, 63, F₃, 4, 168) (dual of [(63, 4), 22, 169]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸⁶, 27, F₃, 4, 71) (dual of [(27, 4), 22, 72]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸⁶, 28, F₃, 4, 71) (dual of [(28, 4), 26, 72]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,40P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹²², 36, F₃, 4, 96) (dual of [(36, 4), 22, 97]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,47P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, 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.