MinT - Information on Result #2857066

Information on Result #2857066

Linear OOA(3²²⁷, 50, F₃, 5, 176) (dual of [(50, 5), 23, 177]-NRT-code), using strength reduction based on linear OOA(3²²⁷, 50, F₃, 5, 177) (dual of [(50, 5), 23, 178]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁹², 23, F₃, 5, 79) (dual of [(23, 5), 23, 80]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁹², 24, F₃, 5, 79) (dual of [(24, 5), 28, 80]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,40P) [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(3¹¹², 27, F₃, 5, 97) (dual of [(27, 5), 23, 98]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹¹², 28, F₃, 5, 97) (dual of [(28, 5), 28, 98]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,42P) [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.