MinT - Information on Result #2622627

Information on Result #2622627

Linear OOA(3¹³⁵, 50, F₃, 3, 92) (dual of [(50, 3), 15, 93]-NRT-code), using strength reduction based on linear OOA(3¹³⁵, 50, F₃, 3, 93) (dual of [(50, 3), 15, 94]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵¹, 22, F₃, 3, 38) (dual of [(22, 3), 15, 39]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵¹, 23, F₃, 3, 38) (dual of [(23, 3), 18, 39]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,30P) [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(3⁶⁹, 28, F₃, 3, 54) (dual of [(28, 3), 15, 55]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,29P) [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.