MinT - Information on Result #2857357

Information on Result #2857357

Linear OOA(3²³¹, 51, F₃, 5, 178) (dual of [(51, 5), 24, 179]-NRT-code), using strength reduction based on linear OOA(3²³¹, 51, F₃, 5, 180) (dual of [(51, 5), 24, 181]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹⁶, 24, F₃, 5, 83) (dual of [(24, 5), 24, 84]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,36P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3¹¹¹, 27, F₃, 5, 96) (dual of [(27, 5), 24, 97]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹¹¹, 28, F₃, 5, 96) (dual of [(28, 5), 29, 97]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,43P) [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.