MinT - Information on Result #2855623

Information on Result #2855623

Linear OOA(3²⁰⁷, 45, F₃, 5, 164) (dual of [(45, 5), 18, 165]-NRT-code), using strength reduction based on linear OOA(3²⁰⁷, 45, F₃, 5, 166) (dual of [(45, 5), 18, 167]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷², 18, F₃, 5, 63) (dual of [(18, 5), 18, 64]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁷², 19, F₃, 5, 63) (dual of [(19, 5), 23, 64]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,31P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹¹⁷, 27, F₃, 5, 102) (dual of [(27, 5), 18, 103]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3¹¹⁷, 28, F₃, 5, 102) (dual of [(28, 5), 23, 103]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,37P) [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.