MinT - Information on Result #2772787

Information on Result #2772787

Linear OOA(3¹⁷⁹, 50, F₃, 4, 130) (dual of [(50, 4), 21, 131]-NRT-code), using strength reduction based on linear OOA(3¹⁷⁹, 50, F₃, 4, 131) (dual of [(50, 4), 21, 132]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁶⁷, 22, F₃, 4, 54) (dual of [(22, 4), 21, 55]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁶⁷, 24, F₃, 4, 54) (dual of [(24, 4), 29, 55]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,41P) [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(3⁹¹, 28, F₃, 4, 76) (dual of [(28, 4), 21, 77]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,35P) [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.