MinT - Information on Result #2857829

Information on Result #2857829

Linear OOA(3²³⁸, 49, F₃, 5, 202) (dual of [(49, 5), 7, 203]-NRT-code), using strength reduction based on linear OOA(3²³⁸, 49, F₃, 5, 204) (dual of [(49, 5), 7, 205]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁸, 11, F₃, 5, 44) (dual of [(11, 5), 7, 45]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 12, F₃, 5, 44) (dual of [(12, 5), 12, 45]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸³, 38, F₃, 5, 159) (dual of [(38, 5), 7, 160]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁸⁸, 19, F₃, 5, 79) (dual of [(19, 5), 7, 80]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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.