MinT - Information on Result #2858061

Information on Result #2858061

Linear OOA(3²⁴¹, 50, F₃, 5, 204) (dual of [(50, 5), 9, 205]-NRT-code), using strength reduction based on linear OOA(3²⁴¹, 50, F₃, 5, 205) (dual of [(50, 5), 9, 206]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3¹⁰¹, 22, F₃, 5, 88) (dual of [(22, 5), 9, 89]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 24, F₃, 5, 88) (dual of [(24, 5), 19, 89]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,31P) [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(3¹³¹, 28, F₃, 5, 116) (dual of [(28, 5), 9, 117]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,23P) [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.