MinT - Information on Result #2622810

Information on Result #2622810

Linear OOA(3¹⁴⁰, 50, F₃, 3, 102) (dual of [(50, 3), 10, 103]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁰, 50, F₃, 3, 103) (dual of [(50, 3), 10, 104]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵⁶, 22, F₃, 3, 43) (dual of [(22, 3), 10, 44]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁶, 24, F₃, 3, 43) (dual of [(24, 3), 16, 44]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,28P) [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(3⁷⁴, 28, F₃, 3, 59) (dual of [(28, 3), 10, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [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.